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DTSTART;TZID=America/Los_Angeles:20251202T160000
DTEND;TZID=America/Los_Angeles:20251202T170000
DTSTAMP:20260517T084229
CREATED:20250917T202344Z
LAST-MODIFIED:20251112T013717Z
UID:3845-1764691200-1764694800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Indraneel Tambe (UCLA)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Indraneel Tambe (UCLA) \nTitle: Steinberg skein relations at roots of unity \nAbstract: This talk discusses some of the relationships between skein theory and the representation theory of quantum sl2 when q is a root of unity. Specifically\, I focus on the Frobenius pullback functor on Uq sl2 representations and see how this relates to Bonahon-Wong’s Frobenius skein homomorphism between Kauffman bracket skein modules. I’ll describe results from my joint work with Vijay Higgins in which we proved what we called Steinberg skein identities and used these in a new proof of the well-definition of the Frobenius skein homomorphism.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-ko-honda-ucla/
LOCATION:Fletcher 104\, Pitzer College\, 1050 N Mills Ave\, Claremont\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251118T160000
DTEND;TZID=America/Los_Angeles:20251118T170000
DTSTAMP:20260517T084229
CREATED:20250917T201310Z
LAST-MODIFIED:20251114T165324Z
UID:3842-1763481600-1763485200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Chris Grossack (UC Riverside)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Chris Grossack (UC Riverside) \nTitle: Explicitly Computing Fukaya Categories of Surfaces \nAbstract: Fukaya categories are rich and interesting invariants of symplectic manifolds that are often difficult to compute in practice. In the case of surfaces\, however\, the computation becomes pleasantly combinatorial\, and can be carried out explicitly. In this expository talk we’ll explain why one might care about Fukaya categories and how one can compute them explicitly enough for computer implementation using tools from “Noncommutative Mirror Symmetry”. With any remaining time\, we’ll explain the ideas behind the speaker’s PhD thesis\, which relies heavily on this machinery.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-chris-grossack-uc-riverside/
LOCATION:Fletcher 104\, Pitzer College\, 1050 N Mills Ave\, Claremont\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251104T160000
DTEND;TZID=America/Los_Angeles:20251104T170000
DTSTAMP:20260517T084229
CREATED:20250910T222316Z
LAST-MODIFIED:20251008T173035Z
UID:3829-1762272000-1762275600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Robert Cass (Claremont McKenna College)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Robert Cass (Claremont McKenna College) \nTitle: Schubert varieties are splinters \nAbstract: Schubert varieties are among the most well-studied singular algebraic varieties\, and they have numerous applications in combinatorics and representation theory. In positive characteristic\, Schubert varieties are known to be Frobenius split by the work of Mehta and Ramanathan. More recently\, Bhatt showed that the full flag variety for GL_n is a derived splinter by entirely different methods. In this talk\, we explain these concepts\, and we show how to generalize Bhatt’s result to all Schubert varieties. Our methods apply equally well to affine Schubert varieties\, which are of interest in number theory. This is joint work with João Lourenço.
URL:https://colleges.claremont.edu/ccms/event/robert-cass-claremont-mckenna-college/
LOCATION:Fletcher 104\, Pitzer College\, 1050 N Mills Ave\, Claremont\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251021T160000
DTEND;TZID=America/Los_Angeles:20251021T170000
DTSTAMP:20260517T084229
CREATED:20250910T222206Z
LAST-MODIFIED:20251001T223838Z
UID:3826-1761062400-1761066000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Puttipong Pongtanapaisan (Pitzer College)
DESCRIPTION:We welcome all undergraduate/graduate students and faculty to attend topology seminar! \nSpeaker: Puttipong Pongtanapaisan (Pitzer College) \nTitle: Special Positions of Shapes in Four-Dimensional Space \nAbstract: I will begin by convincing you that four-dimensional space is more familiar than it might first appear. Then\, I will introduce ways in which mathematicians study objects in 4-space. Each visualization method comes with its own advantages and limitations\, as well as a natural measure of complexity that captures how “knotted” a shape can be. Drawing from my work on several projects\, I will explain how these complexity measures connect to other areas of mathematics. For example\, placing surfaces in what we call a rainbow position reveals connections to symplectic geometry.
URL:https://colleges.claremont.edu/ccms/event/puttipong-pongtanapaisan-pitzer-college/
LOCATION:Fletcher 104\, Pitzer College\, 1050 N Mills Ave\, Claremont\, 91711\, United States
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250429T150000
DTEND;TZID=America/Los_Angeles:20250429T160000
DTSTAMP:20260517T084229
CREATED:20250303T212829Z
LAST-MODIFIED:20250428T212953Z
UID:3725-1745938800-1745942400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: David Bachman (Pitzer College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: David Bachman (Pitzer College) \nTitle: Learning optimal knot projections \nAbstract: We use techniques from Reinforcement Learning to find knot projections which minimize crossing number.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-david-bachman-pitzer-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:20250422T150000
DTEND;TZID=America/Los_Angeles:20250422T160000
DTSTAMP:20260517T084229
CREATED:20250303T212722Z
LAST-MODIFIED:20250303T212722Z
UID:3724-1745334000-1745337600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Sam Nelson (Claremont McKenna College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Sam Nelson (Claremont McKenna College) \nTitle: Virtual Biquandle Cocycle Quiver Representations \nAbstract: We construct a quiver representation valued invariant of virtual knots and links using virtual biquandle homology.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-sam-nelson-claremont-mckenna-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:20250415T150000
DTEND;TZID=America/Los_Angeles:20250415T160000
DTSTAMP:20260517T084229
CREATED:20250303T182159Z
LAST-MODIFIED:20250413T171750Z
UID:3719-1744729200-1744732800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Sierra Knavel (Georgia Tech)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Sierra Knavel (Georgia Tech) \nTitle: Betti Numbers and Indecomposability of Genus-2 Lefschetz Fibrations \nAbstract: Symplectic 4-manifolds\, smooth 4-manifolds equipped with a closed\, nondegenerate 2-form\, arise naturally in classical mechanics and have become central objects of study in topology. Following foundational work by Donaldson and Gompf\, Lefschetz pencils have been shown to correspond bijectively with symplectic 4-manifolds\, making symplectic 4-manifolds a tractable family of smooth 4-manifolds to work with. This talk focuses on genus-2 Lefschetz fibrations obtained by blowing up Lefschetz pencils and presents new bounds on their first Betti number. We will also examine a particularly elusive class of non-simply connected\, indecomposable genus-2 fibrations and consider the prospects of extending these results to higher genera.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-sierra-knavel-georgia-tech/
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:20250401T150000
DTEND;TZID=America/Los_Angeles:20250401T160000
DTSTAMP:20260517T084229
CREATED:20250214T211604Z
LAST-MODIFIED:20250224T221209Z
UID:3706-1743519600-1743523200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Scott Taylor (Colby College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Scott Taylor (Colby College) \nTitle: Genus 1 Bridge Number of Satellite Knots in Lens Spaces \nAbstract: In the mid-1950s\, Horst Schubert introduced two ideas which turned out to have lasting impact in knot theory: satellite knots and bridge number. A Satellite knot is a knot which is tied in the shape of another knot (its companion). Wrapping number is one way of measuring how complicated the satellite knot is with respect to its companion. Bridge number is an invariant for knots and links in the 3-sphere. Schubert showed that the bridge number of a satellite knot is at least the wrapping number times the bridge number of the companion. I’ll give an overview of recent joint work with Maggy Tomova where we extend Schubert’s result to knots in lens spaces.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-scott-taylor-colby-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:20250325T150000
DTEND;TZID=America/Los_Angeles:20250325T160000
DTSTAMP:20260517T084229
CREATED:20250214T211453Z
LAST-MODIFIED:20250324T000533Z
UID:3705-1742914800-1742918400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (Claremont McKenna College)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Reginald Anderson (Claremont McKenna College) \nTitle: Kontsevich’s Recursive Formula for Rational Plane Curves \nAbstract: Gromov-Witten theory was developed in the 1990s as a curve-counting theory by integrating cohomology classes against a virtual fundamental class for a moduli space of stable maps. One early success of the theory was Kontsevich’s recursive formula for enumerating the number of rational plane curves through 3d-1 points in general position. Starting from a consideration of which genus 0 Gromov-Witten invariants for the complex projective plane can possibly be non-zero\, we will assemble a generating function for these invariants\, called the genus 0 Gromov-Witten potential for the complex projective plane. If time allows\, we will also use the fact that the potential satisfies a partial differential equation called the Witten-Dijkgraaf-Verlinde-Verlinde equation to solve for N_d\, the coefficients of the generating function\, which give the number of rational plane curves through 3d-1 points. \nThis talk follows p. 24-26 of these notes\, available at https://arxiv.org/abs/2501.03232. \nAll are welcome.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-claremont-mckenna-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:20250318T080000
DTEND;TZID=America/Los_Angeles:20250318T170000
DTSTAMP:20260517T084229
CREATED:20250214T211316Z
LAST-MODIFIED:20250214T211316Z
UID:3704-1742284800-1742317200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: NO SEMINAR
DESCRIPTION:No seminar this week due to Spring break!
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-no-seminar/
LOCATION:CA
CATEGORIES:Topology Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250311T150000
DTEND;TZID=America/Los_Angeles:20250311T160000
DTSTAMP:20260517T084229
CREATED:20250214T211215Z
LAST-MODIFIED:20250303T222536Z
UID:3703-1741705200-1741708800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Iris Yoon (Wesleyan University)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Iris Yoon (Wesleyan University) \nTitle: Dowker duality\, profunctors\, and spectral sequences \nAbstract: I will present three short\, new proofs of Dowker duality using various poset fiber lemmas. I will introduce modifications of joins and products of simplicial complexes called relational join and relational product complexes. These relational complexes can be constructed whenever there is a relation between simplicial complexes\, which includes the context of Dowker duality and covers of simplicial complexes. In this more general setting\, I will show that the homologies of the simplicial complexes and the relational complexes fit together in a long exact sequence. If time permits\, I’ll discuss similar results for profunctors\, which are generalizations of relations to categories.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-iris-yoon-wesleyan-university/
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:20250308T080000
DTEND;TZID=America/Los_Angeles:20250308T170000
DTSTAMP:20260517T084229
CREATED:20250212T183309Z
LAST-MODIFIED:20250212T183631Z
UID:3694-1741420800-1741453200@colleges.claremont.edu
SUMMARY:N+12th Southern California Topology Colloquium
DESCRIPTION:The Claremont Topology Seminar\, with funding from Pitzer College and the NSF\, is pleased to sponsor the N+12th Southern California Topology Colloquium (SCTC). SCTC is a one-day conference primarily attended by mathematicians from the Southern California area. This year\, the colloquium will be held at the Benson Auditorium at Pitzer College on \nSaturday\, March 8th\, 2025. \nAll talks will take place in Benson Auditorium on the Pitzer College campus. Light breakfast\, lunch\, coffee and snacks will be served in the foyer of Benson Auditorium. The speakers are \nDror Bar-Natan\, University of Toronto \nPatrick Orson\, California Polytechnic State University\, San Luis Obispo \nRhea Palak Bakshi\, University of California\, Santa Barbara \nSucharit Sarkar\, University of California\, Los Angeles \nThere is no registration fee\, but you must register to attend. More information can be found at the SCTC website below: \nhttps://sites.google.com/view/socaltopology/home   \n  \nContact SCTC 2025 organizers for more questions: \nBahar Acu\, <Bahar.Acu@pitzer.edu>\, Pitzer College\, Claremont Colleges \nKo Honda\, <honda@math.ucla.edu>\, University of California\, Los Angeles \nYi Ni\, <YiNi@caltech.edu>\, California Institute of Technology \nHelen Wong\, <Helen.Wong@claremontmckenna.edu>\, Claremont McKenna College\, Claremont Colleges \n 
URL:https://colleges.claremont.edu/ccms/event/n12th-southern-california-topology-colloquium/
LOCATION:Benson Auditorium\, 1050 N Mills Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Special Event,Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250304T150000
DTEND;TZID=America/Los_Angeles:20250304T160000
DTSTAMP:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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:20260517T084229
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
END:VCALENDAR