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X-WR-CALNAME:Claremont Center for the Mathematical Sciences
X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250304T150000
DTEND;TZID=America/Los_Angeles:20250304T160000
DTSTAMP:20260411T235916
CREATED:20250214T211058Z
LAST-MODIFIED:20250227T210413Z
UID:3702-1741100400-1741104000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Carrie Frizzell (Scripps College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Carrie Frizzell (Scripps College) \nTitle: A Primer on Tropical Geometry \nAbstract: Max-plus and min-plus semifields—coined tropical semifields—appeared in the 1970s in the work of the computer scientist Imre Simon. Since then\, the field of tropical geometry has developed rapidly. In this talk\, we’ll present some basics of tropical geometry\, starting with tropical algebra and then passing to the geometric side via a few examples of tropical hypersurfaces. We will also discuss the relationship between classical algebraic curves and tropical curves. \n 
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-carrie-frizzell-scripps-college/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250225T150000
DTEND;TZID=America/Los_Angeles:20250225T160000
DTSTAMP:20260411T235916
CREATED:20250214T210308Z
LAST-MODIFIED:20250215T011007Z
UID:3699-1740495600-1740499200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Morgan Weiler (University of California\, Riverside)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Morgan Weiler (University of California\, Riverside) \nTitle: Anchored symplectic embeddings and 2-parameter persistence \nAbstract: Symplectic geometry is a generalization of classical mechanics\, in which position and momentum coordinates are paired. In two dimensions\, symplectic geometry is equivalent to volume-preserving geometry\, but in higher dimensions\, Gromov proved in volume inequality is not enough to guarantee embedding. In this talk\, we will explain an example for which requiring the complement of the embedding to contain a symplectic surface with fixed boundary conditions (the so-called “anchor”) provides an even stronger restriction than the symplectic form alone. The result is joint work with Michael Hutchings\, Agniva Roy\, and Yuan Yao; the method of proof that will be shown is ongoing work with Hutchings\, Roy\, and Yao and uses 2-parameter persistence modules\, a tool from topological data analysis which we will review.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-morgan-weiler-university-of-california-riverside/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250218T150000
DTEND;TZID=America/Los_Angeles:20250218T160000
DTSTAMP:20260411T235916
CREATED:20250214T210837Z
LAST-MODIFIED:20250214T211706Z
UID:3701-1739890800-1739894400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Shane Rankin (University of California\, Riverside)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Shane Rankin (University of California\, Riverside) \nTitle: Symplectic Hodge Theory on Lie Algebroids \nAbstract: Symplectic Hodge Theory was developed in the late 80s to answer a conjecture of Brylinksi. Since then it has been used to understand the gap between Symplectic and Kahler structures. In this talk\, we’ll discuss the background and history of the subject\, and discuss recent generalizations to the Lie Algebroid setting.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-shane-rankin-university-of-california-riverside/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241203T150000
DTEND;TZID=America/Los_Angeles:20241203T160000
DTSTAMP:20260411T235916
CREATED:20240928T045355Z
LAST-MODIFIED:20241202T162645Z
UID:3555-1733238000-1733241600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Rhea Palak Bakshi (University of California\, Santa Barbara)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Rhea Palak Bakshi (University of California Santa Barbara) \nTitle: The skein module of the connected sum of two copies of L(0\,1) \nAbstract: Abstract: Skein modules were introduced by Jozef H. Przytycki\, and independently by Vladmimor Turaev\, as generalisations of the Jones\, Kauffman bracket\, and HOMFLYPT polynomial link invariants in the 3-sphere to arbitrary 3-manifolds. The Kauffman bracket skein module (KBSM) is the most extensively studied of all. However\, computing the KBSM of a 3-manifold is known to be notoriously hard\, especially over the ring of Laurent polynomials. Marche conjectured that over the ring of Laurent polynomials\, the KBSM of closed oriented 3-manifolds splits into the sum of free and torsion modules. The counterexample to this conjecture is given by the connected sum of two copies of the real projective space. With the goal of finding a definite structure of the KBSM over this ring\, we compute the skein module of S^1 x S^2 # H_1 and S^1 x S^2 # S^1 x S^2. We show that it is isomorphic to the KBSM of a genus two handlebody modulo some specific handle sliding relations. Moreover\, these handle sliding relations can be written in terms of Chebyshev polynomials. We also discuss whether the KBSM of these manifolds splits into the sums of free and torsion modules. This is joint work with Seongjeong Kim\, Shangjun Shi\, and Xiao Wang.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-rhea-palak-bakshi-university-of-california-santa-barbara/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241119T150000
DTEND;TZID=America/Los_Angeles:20241119T160000
DTSTAMP:20260411T235916
CREATED:20240928T045216Z
LAST-MODIFIED:20241015T011845Z
UID:3554-1732028400-1732032000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Heather Lee
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Heather Lee \nTitle: Some examples of homological mirror symmetry \nAbstract: Mirror symmetry is a duality phenomenon between symplectic geometry and complex geometry. The homological mirror symmetry (HMS) conjecture was originally formulated by M. Kontsevich in 1994 to fully capture this phenomenon for mirror pairs of compact Calabi-Yau manifolds. Since then\, it has been extended to cover a much wider range of manifolds. For example\, in 2 real dimensions\, among the compact Riemann surfaces\, the torus is Calabi-Yau\, the sphere is Fano\, and all others are of general type; in addition\, there are punctured Riemann surfaces which are not compact. In this talk\, I will present a few illustrative examples of HMS\, including ones worked out by others and from my own research.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-heather-lee/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241112T150000
DTEND;TZID=America/Los_Angeles:20241112T160000
DTSTAMP:20260411T235916
CREATED:20240928T045117Z
LAST-MODIFIED:20241109T013611Z
UID:3553-1731423600-1731427200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Claudio Gomez-Gonzales (Carleton College - UC Irvine)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend the Topology Seminar! \nSpeaker: Claudio Gomez-Gonzales (Carleton College – UC Irvine) \nTitle: How hard could it be? A tour of resolvent degree \nAbstract: Solving algebraic equations are among the oldest problems in mathematics. In this talk\, we offer a concrete\, visual\, and historical introduction to resolvent degree (RD)\, an invariant that aspires to quantify just how hard these problems are. The lineage of this theory includes the origins of topology\, Klein’s “hypergalois” program\, and centuries-old exploits in reducing numbers of coefficients\, which dare us to push beyond the solvable/unsolvable dichotomy. We will build towards the notion of versality central to Klein’s vision\, with a nod to our general framework implemented in joint work with Alexander Sutherland and Jesse Wolfson\, that permits us to address resolvent questions via classical invariant theory. We will conclude by reflecting on the past and future of resolvent problems\, along with what we do and don’t know about RD. This talk is designed to be accessible for undergraduates—let’s do some math!
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-claudio-gomez-gonzales-carleton-college-uc-irvine/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241105T150000
DTEND;TZID=America/Los_Angeles:20241105T160000
DTSTAMP:20260411T235916
CREATED:20240928T045017Z
LAST-MODIFIED:20241025T175032Z
UID:3550-1730818800-1730822400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Vijay Higgins (UCLA)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Vijay Higgins (UCLA) \nTitle: Webs and skein algebras \nAbstract: The Jones polynomial of a link can be computed diagrammatically by using skein relations\, which encode the representation theory of SL(2). By considering the vector space spanned by links drawn on a surface and imposing these skein relations\, we obtain an algebra known as the Kauffman bracket skein algebra of the surface. These algebras have been studied by many authors\, including F. Bonahon and H. Wong\, and much is known about their structure. Replacing SL(2) by SL(3) or any other higher rank Lie group gives rise to a new skein algebra involving not only links but also certain graphs called webs. In this talk\, we will discuss some of the complications involved with studying skein algebras built from webs on surfaces and then present ways of getting around them. Some of this work is joint with F. Bonahon.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-vijay-higgins-ucla/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241029T150000
DTEND;TZID=America/Los_Angeles:20241029T160000
DTSTAMP:20260411T235916
CREATED:20240928T044917Z
LAST-MODIFIED:20241024T185135Z
UID:3552-1730214000-1730217600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Orsola Capovilla-Searle (UC Davis)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Orsola Capovilla-Searle (UC Davis) \nTitle: Exact Lagrangian fillings of Legendrian links \nAbstract: An important problem in contact topology is to understand Legendrian submanifolds; these submanifolds are always tangent to the plane field given by the contact structure. Legendrian links arise as wavefronts in optics\, and can sometimes be used to distinguish contact structures. Legendrian links can also arise as the boundary of exact Lagrangian surfaces in the standard symplectic 4-ball which are called fillings of the link. In the last seven years\, our understanding of the moduli space of fillings for various families of Legendrians has greatly improved thanks to tools from sheaf theory\, Floer theory and cluster algebras. I will talk about recent work establishing connections between fillings and Newton polytopes\, as well as applications to higher dimensional Legendrian submanifolds and non-orientable fillings.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-orsola-capovilla-searle-uc-davis-2/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241022T150000
DTEND;TZID=America/Los_Angeles:20241022T163000
DTSTAMP:20260411T235916
CREATED:20241015T012146Z
LAST-MODIFIED:20241015T012146Z
UID:3574-1729609200-1729614600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Will Hoffer (UC Riverside)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Will Hoffer (UC Riverside) \nTitle: Tube Formulae for Fractal Snowflakes \nAbstract: Fractals like the von Koch snowflake have rough boundaries\, often having nowhere defined tangent lines/spaces. However\, there is a tool useful for probing the edges of such fractals: tubular neighborhoods. In this talk\, we’ll introduce the theory of fractal tube formulae which describe the volumes of such tubular neighborhoods\, illustrating through our recent work on generalized fractal snowflakes. In the process\, we’ll touch on the theory of complex dimensions and tubular zeta functions that capture the (multiplicative) oscillations appearing in the geometry of fractals.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-will-hoffer-uc-riverside/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241001T150000
DTEND;TZID=America/Los_Angeles:20241001T160000
DTSTAMP:20260411T235916
CREATED:20240928T044059Z
LAST-MODIFIED:20240928T044059Z
UID:3549-1727794800-1727798400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (CMC)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Reginald Anderson (CMC) \nTitle: Presentations of derived categories \nAbstract: A modification of the cellular resolution of the diagonal given by Bayer-Popescu-Sturmfels gives a virtual resolution of the diagonal for smooth projective toric varieties and toric Deligne-Mumford stacks which are a global quotient of a smooth projective variety by a finite abelian group. In the past year\, Hanlon-Hicks-Lazarev gave a minimal resolution of the diagonal for toric subvarieties of smooth projective toric varieties. We give implications for exceptional collections on smooth projective toric Fano varieties in dimensions 1-4. This is joint work with CMC undergrads Justin Son\, Hill Zhang\, and Jumari Querimit-Ramirez.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-cmc-3/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240917T150000
DTEND;TZID=America/Los_Angeles:20240917T160000
DTSTAMP:20260411T235916
CREATED:20240906T122404Z
LAST-MODIFIED:20240906T122541Z
UID:3496-1726585200-1726588800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Migiwa Sakurai (Shibaura Institute of Technology)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Migiwa Sakurai (Shibaura Institute of Technology) \nTitle: Clasp pass moves and arrow polynomials of virtual knots \nAbstract: For classical knots\, clasp pass moves are closely related to Vassiliev invariants of degree 3. Tsukamoto showed that the values of the Vassiliev invariant of degree 3 induced from the Jones polynomial for two knots differ by 0 or +36/-36\, if they are related by a single clasp pass move. For virtual knots\, the arrow polynomial is a generalization of the Jones polynomial and induces a Vassiliev invariant of degree 3. We show that the values of the Vassiliev invariant of degree 3 induced from the arrow polynomial of two virtual knots differ by 0 or +2304/-2304\, if they are related by a single clasp pass move. We also obtain a lower bound of the distance between virtual knots by clasp pass moves.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-migiwa-sakurai-shibaura-institute-of-technology/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240910T150000
DTEND;TZID=America/Los_Angeles:20240910T160000
DTSTAMP:20260411T235916
CREATED:20240906T122226Z
LAST-MODIFIED:20240906T122236Z
UID:3495-1725980400-1725984000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Sam Nelson (CMC)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Sam Nelson (CMC) \nTitle: Biquandle Module Quiver Representations \nAbstract: Biquandle module enhancements are invariants of knots and links generalizing the classical Alexander module invariant. A quiver categorification of these invariants was introduced in 2020. In this work-in-progress (joint with Yewon Joung from Hanyang University in Seoul) we take the next step by defining invariant quiver representations. As an application we obtain new polynomial knot invariants ae decategorifications.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-sam-nelson-cmc/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240430T150000
DTEND;TZID=America/Los_Angeles:20240430T160000
DTSTAMP:20260411T235916
CREATED:20240131T040741Z
LAST-MODIFIED:20240131T040741Z
UID:3371-1714489200-1714492800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Elena Wang (Michigan State University)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Elena Wang (Michigan State University) \nTitle: A Distance for Geometric Graphs via the Labeled Merge Tree Interleaving Distance \nAbstract: Geometric graphs appear in many real-world data sets\, such as road networks\, sensor networks\, and molecules. We investigate the notion of distance between graphs and present a metric to measure the distance between two geometric graphs via merge trees. In order to preserve as much useful information as possible from the original data\, we introduce a way of rotating the sublevel set to obtain the merge trees via the idea of the directional transform. We represent the merge trees using a surjective multi-labeling scheme\, and then compute the distance between two representative matrices. Our distance not only has theoretically desirable qualities but can also be approximated in polynomial time. We illustrate its utility by implementation on a Passiflora leaf data set.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-elena-wang-michigan-state-university/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240423T150000
DTEND;TZID=America/Los_Angeles:20240423T160000
DTSTAMP:20260411T235916
CREATED:20240128T230859Z
LAST-MODIFIED:20240414T234902Z
UID:3368-1713884400-1713888000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Joe Breen (University of Iowa)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Joe Breen (University of Iowa) \nTitle: Open books in all dimensions \nAbstract: I will discuss recent work (joint with K. Honda and Y. Huang) on establishing a relationship\, first discovered by Giroux\, between “contact structures” and “open books”. This relationship has been widely used in 3-dimensional contact topology\, and mathematicians are beginning to investigate the consequences in higher-dimensional contact topology. No background knowledge of contact topology or open book decompositions will be assumed. I will even motivate why higher-dimensional contact topology could be useful for questions in low-dimensional topology.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-joe-breen-university-of-iowa/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240416T150000
DTEND;TZID=America/Los_Angeles:20240416T160000
DTSTAMP:20260411T235916
CREATED:20240128T230720Z
LAST-MODIFIED:20240414T212101Z
UID:3367-1713279600-1713283200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Ryan Maguire (Dartmouth College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Ryan Maguire (Dartmouth College) \nTitle: Relative Strengths of Knot Invariants by Experiment \nAbstract: Four knot polynomials have been well studied by topologists\, graph theorists\, and algebraists alike:\nThe Alexander\, Jones\, HOMFLY-PT\, and Khovanov polynomials. It is known that the Khovanov polynomial is “stronger” than the Jones polynomial\, and similarly one may state that HOMFLY-PT is stronger than both the Alexander and Jones polynomials. No comparison can be made between the Jones and Alexander polynomials since there are families of knots with identical Alexander polynomials but distinct Jones polynomials\, and vice-versa\, but experiment tells us the Jones polynomial is stronger\, on average\, at distinguishing knots. We have tabulated the Alexander\, Jones\, and HOMFLY-PT polynomials for all knots up to 19 crossings\, and the Khovanov polynomial for up to 17 crossings. Using this\, we can experiment on the relative strengths of these knot invariants and generate statistics on them.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-ryan-maguire-dartmouth-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240402T150000
DTEND;TZID=America/Los_Angeles:20240402T160000
DTSTAMP:20260411T235916
CREATED:20240128T230545Z
LAST-MODIFIED:20240308T230729Z
UID:3366-1712070000-1712073600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Jim Hoste (Pitzer College)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Jim Hoste (Pitzer College) \nTitle: Variations on the Kauffman Bracket\n\nAbstract: Forty years ago\, Lou Kauffman formulated his “bracket” polynomial\, a function from link diagrams to Laurent polynomials in one variable. This elementary construction leads to a simple definition of the Jones Polynomial. The simplifying assumptions made by Kauffman in producing the bracket polynomial are not strictly necessary\, leading to the question: Can a more general invariant of links be obtained using variations of the Kauffman bracket? In this talk I will explore this question.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-jim-hoste-pitzer-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240326T150000
DTEND;TZID=America/Los_Angeles:20240326T160000
DTSTAMP:20260411T235916
CREATED:20240128T230426Z
LAST-MODIFIED:20240308T230839Z
UID:3365-1711465200-1711468800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Qing Zhang (UC Santa Barbara)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Qing Zhang (UC Santa Barbara) \nTitle: Super-modular categories from near-group centers\n\nAbstract: A super-modular category is a unitary pre-modular category with Müger center equivalent to the symmetric unitary category of super-vector spaces. The modular data for a super-modular category gives a projective representation of the group:  $\Gamma_\theta<\mathrm{SL}(2\, \mathbb{Z})$. Adapting work of Ng-Rowell-Wang-Wen\, Cho- Kim-Seo-You computed modular data from congruence representations of $\Gamma_\theta $ using the congruence subgroup theorem for super-modular categories of  Bonderson-Rowell-Wang-Z and the minimal modular extension theorem of  Reutter-Johnson-Freyd. They found two classes of previously unknown modular data for rank 10 super-modular categories. We show that these data are realized by modifying the Drinfeld centers of near-group fusion categories associated with the groups $\Z/6$ and $\Z/2\times \Z/4$. The methods we develop have more general applications\, and we describe some of them. This talk is based on joint work with Eric Rowell and Hannah Solomon.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-qing-zhang-uc-santa-barbara/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240319T150000
DTEND;TZID=America/Los_Angeles:20240319T160000
DTSTAMP:20260411T235916
CREATED:20240128T230304Z
LAST-MODIFIED:20240318T165014Z
UID:3364-1710860400-1710864000@colleges.claremont.edu
SUMMARY:*Cancelled* Claremont Topology Seminar: Iris Yoon (Wesleyan College)
DESCRIPTION:This talk has been cancelled. \nWe welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Iris Yoon (Wesleyan College) \nTitle: A generalized Dowker complex for multi-way Relations \nAbstract: Given a relation between two sets X and Y\, one can construct two simplicial complexes\, one having X as its vertex set and the other having Y as its vertex set. These two simplicial complexes (both called Dowker complexes)\, have initially been shown to have isomorphic homology groups (Dowker\, 1952) and were later shown to be homotopy equivalent (Bjorner\, 1988). I will present a generalization of the Dowker complex to multi-way relations. The construction is inspired by a new proof of Dowker homotopy equivalence (Brun & Salbu 2023) that embodies Quillen’s Theorem A. I will present different perspectives for understanding the generalized Dowker complex\, including as global sections of a cellular cosheaf and as the homotopy colimit of some underlying diagram. This is joint work with many collaborators (Vaupel\, Schonsheck\, de Silva\, Giusti\, Sazdanovic\, among others)\, and all results are preliminary.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-iris-yoon-wesleyan-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240305T150000
DTEND;TZID=America/Los_Angeles:20240305T160000
DTSTAMP:20260411T235916
CREATED:20240128T230049Z
LAST-MODIFIED:20240228T181227Z
UID:3363-1709650800-1709654400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Adam Yassine (Pomona College)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Adam Yassine (Pomona College) \nTitle: A Structural Approach to Classical Mechanics \nAbstract: A structural approach to the study of classical mechanics clarifies the physical heuristics that physicists use in constructing mathematical models of classical mechanical systems. The focus of our current program is to develop a category theoretic framework that captures certain compositional features of classical mechanics. The framework is both flexible enough to support the description of a wide variety of systems and rigid enough to uniquely determine the physicists’ models.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-adam-yassine-pomona-college/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240227T150000
DTEND;TZID=America/Los_Angeles:20240227T160000
DTSTAMP:20260411T235916
CREATED:20240128T225822Z
LAST-MODIFIED:20240224T002645Z
UID:3361-1709046000-1709049600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: No Seminar
DESCRIPTION:No Seminar
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-orsola-capovilla-searle-uc-davis/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240220T150000
DTEND;TZID=America/Los_Angeles:20240220T160000
DTSTAMP:20260411T235916
CREATED:20240128T225522Z
LAST-MODIFIED:20240210T020345Z
UID:3356-1708441200-1708444800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Puttipong Pongtanapaisan (Arizona State university)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Puttipong Pongtanapaisan (Arizona State University) \nTitle: Building Knotted Objects Efficiently \nAbstract: Knotted objects can be constructed by gluing together standard pieces called handles. Understanding the minimum number of handles required for construction and their sequential attachment provides valuable insights into the complexity of entanglement. Certain knots require specific types of handles to be attached first\, preventing them from fitting into small lattice tubes. This is particularly relevant as polymers in confinement are modeled as knots within lattice tubes. In this talk\, I will discuss methods for studying these handles and their attachment order using coloring games applied to link diagrams.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-puttipong-pongtanapaisan-arizona-state-university/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240213T150000
DTEND;TZID=America/Los_Angeles:20240213T160000
DTSTAMP:20260411T235916
CREATED:20240124T181020Z
LAST-MODIFIED:20240129T194110Z
UID:3347-1707836400-1707840000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Luya Wang (Stanford)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Luya Wang (Stanford) \nTitle: Deformation inequivalent symplectic structures and Donaldson’s four-six question \nAbstract: Studying symplectic structures up to deformation equivalences is a fundamental question in symplectic geometry. Donaldson asked: given two homeomorphic closed symplectic four-manifolds\, are they diffeomorphic if and only if their stabilized symplectic six-manifolds\, obtained by taking products with CP^1 with the standard symplectic form\, are deformation equivalent? I will discuss joint work with Amanda Hirschi on showing how deformation inequivalent symplectic forms remain deformation inequivalent when stabilized\, under certain algebraic conditions. This gives the first counterexamples to one direction of Donaldson’s “four-six” question and the related Stabilizing Conjecture by Ruan.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-luya-wang-stanford/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240130T150000
DTEND;TZID=America/Los_Angeles:20240130T160000
DTSTAMP:20260411T235916
CREATED:20240124T180651Z
LAST-MODIFIED:20240128T224307Z
UID:3346-1706626800-1706630400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Song Yu (Caltech)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Song Yu (California Institute of Technology and Tsinghua Yau Mathematical Sciences Center) also a Pomona alum! \nTitle: Knot invariants\, Gromov-Witten invariants\, and integrality conjectures \nAbstract: In this talk\, we will take a peek at large N duality which is a deep correspondence between invariants of knots in 3-manifolds and enumerative geometry in symplectic 6-manifolds discovered in physics in the 1980-90s. On the numerical level\, the correspondence relates Chern-Simons knot invariants to open Gromov-Witten invariants which are counts of bordered Riemann surfaces with Lagrangian boundary conditions\, and has led to predictions on the integrality structures of both invariants. We will discuss recent progress on the enumerative geometry side and connections to known integrality properties in Gromov-Witten theory. \n  \n 
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-song-yu-caltech/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231128T150000
DTEND;TZID=America/Los_Angeles:20231128T160000
DTSTAMP:20260411T235916
CREATED:20231115T195911Z
LAST-MODIFIED:20231115T195911Z
UID:3322-1701183600-1701187200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Melody Molander (UCSB)
DESCRIPTION:Title: Skein Theory of Affine ADE Subfactor Planar Algebras \nAbstract: Subfactor planar algebras first were constructed by Vaughan Jones as a diagrammatic axiomatization of the standard invariant of a subfactor. These planar algebras also encode two other invariants of the subfactors: the index and the principal graph. The Kuperberg Program asks to find all diagrammatic presentations of subfactor planar algebras. This program has been completed for index less than 4. In this talk\, I will introduce subfactor planar algebras and give some presentations of subfactor planar algebras of index 4 which have affine ADE Dynkin diagrams as their principal graphs.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-melody-molander-ucsb/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231114T150000
DTEND;TZID=America/Los_Angeles:20231114T160000
DTSTAMP:20260411T235916
CREATED:20231104T140011Z
LAST-MODIFIED:20231104T141022Z
UID:3309-1699974000-1699977600@colleges.claremont.edu
SUMMARY:Geometry and Topology Seminar: Claremont Colleges Course Previews for Spring 2024
DESCRIPTION:On November 14th\, Tuesday from 3-4pm in Fletcher 110\, Geometry and Topology Seminar invites students and faculty to a course preview session devoted to a discussion and presentations about upcoming Spring 2024 courses in \n\ngeometry\,\ntopology and/or\nwith applications in geometry and topology\n\nto help students make their enrollment choices. \nWe will have some refreshments for all attending to enjoy!
URL:https://colleges.claremont.edu/ccms/event/geometry-and-topology-seminar-claremont-colleges-course-previews-for-spring-2024/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231107T150000
DTEND;TZID=America/Los_Angeles:20231107T160000
DTSTAMP:20260411T235916
CREATED:20230916T033519Z
LAST-MODIFIED:20231016T154054Z
UID:3239-1699369200-1699372800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Hyunki Min (UCLA)
DESCRIPTION:Title: Contact structures and the mapping class group of lens spaces \nAbstract: One important problem in contact topology is to classify contact structures on a given manifold. Around 20 years ago\, Giroux and Honda classified contact structures on lens spaces. A natural question to ask after that is how the transformations on lens spaces interact with the contact structures. In this talk\, we study contactomorphisms on lens spaces\, which are diffeomorphisms preserving the contact structure. We show that the contact mapping class group of a standard contact lens space is a subgroup of the mapping class group of the lens space.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-hyunki-min-ucla/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231031T150000
DTEND;TZID=America/Los_Angeles:20231031T160000
DTSTAMP:20260411T235916
CREATED:20230918T204526Z
LAST-MODIFIED:20231030T204415Z
UID:3246-1698764400-1698768000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Konstantinos Varvarezos (UCLA)
DESCRIPTION:Title: Cosmetic Surgeries on Knots and Heegaard Floer Homology \nAbstract: A common method of constructing 3-manifolds is via Dehn surgery on knots. A pair of surgeries on a knot is called purely cosmetic if the resulting 3-manifolds are homeomorphic as oriented manifolds\, whereas it is said to be chirally cosmetic if they result in homeomorphic manifolds with opposite orientations. An outstanding conjecture predicts that no nontrivial knots admit any purely cosmetic surgeries. We apply certain obstructions from Heegaard Floer homology to show that (nontrivial) knots which arise as the closure of a 3-stranded braid do not admit any purely cosmetic surgeries. Furthermore\, we find new obstructions to the existence of chirally cosmetic surgeries coming from Heegaard Floer homology; in particular\, we make use of immersed curve formulations of knot Floer homology and the corresponding surgery formula. Combining these with other obstructions involving finite type invariants\, we completely classify chirally cosmetic surgeries on odd alternating pretzel knots. Moreover\, we rule out cosmetic surgeries for L-space knots along slopes with opposite signs.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-konstantinos-varvarezos-ucla/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231024T150000
DTEND;TZID=America/Los_Angeles:20231024T160000
DTSTAMP:20260411T235916
CREATED:20230918T204340Z
LAST-MODIFIED:20231017T231659Z
UID:3245-1698159600-1698163200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Wenyuan Li (USC)
DESCRIPTION:Title: Generating families on Lagrangian cobordisms \nAbstract: An important question in contact topology is to understand Legendrian knots and their relations given by Lagrangian cobordisms. In the contact manifold T*M x R\, an important tool to study Legendrian knots and their Lagrangian cobordisms is called generating families or generating functions\, which are generalizations of the defining functions f of graphical Legendrians of the form {(x\, df(x)\, f(x))}. When there exists a generating family with good control at infinity\, interesting Legendrian invariants can be extracted. We try to understand the following basic question: when can a generating function on the Legendrian knot be extended to the Lagrangian cobordism? We will give a necessary and sufficient condition to the problem for generating families with good control at infinity. In particular\, we show that such an extension always exists in the case of Lagrangian concordances.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-wenyuan-li-usc/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231010T150000
DTEND;TZID=America/Los_Angeles:20231010T160000
DTSTAMP:20260411T235916
CREATED:20230915T192038Z
LAST-MODIFIED:20231006T052904Z
UID:3238-1696950000-1696953600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Christopher Perez (Loyola University New Orleans)
DESCRIPTION:Title: Towers and elementary embeddings in total relatively hyperbolic groups \nAbstract: In a remarkable series of papers\, Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers. It was later proved by Chloé Perin that if H is an elementarily embedded subgroup (or elementary submodel) of a torsion-free hyperbolic group G\, then G is a tower over H. We prove a generalization of Perin’s result to toral relatively hyperbolic groups using JSJ and shortening techniques.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-christopher-perez-loyola-university-new-orleans/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231003T150000
DTEND;TZID=America/Los_Angeles:20231003T160000
DTSTAMP:20260411T235916
CREATED:20231006T052456Z
LAST-MODIFIED:20231006T052910Z
UID:3276-1696345200-1696348800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Julian Chaidez (USC)
DESCRIPTION:Title: Quantum 4-Manifold Invariants Via Trisections \nAbstract: I will describe a new family of potentially non-semisimple invariants for compact a 4-manifold whose boundary is equipped with an open book. The invariant is computed using a trisection\, along with some additional combing data\, and a piece of algebraic data called a Hopf triple. The relationship with other recent works on non-semisimple 4-manifold invariants\, like the work of Costantino-Geer-Patureau-Mirand-Virelizier\, is not yet clear. This talk is based on joint work with Shawn Cui (Purdue) and Jordan Cotler (Harvard).
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-julian-chaidez-usc/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
END:VCALENDAR