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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240430T150000
DTEND;TZID=America/Los_Angeles:20240430T160000
DTSTAMP:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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:20260418T154423
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
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230926T150000
DTEND;TZID=America/Los_Angeles:20230926T160000
DTSTAMP:20260418T154423
CREATED:20230922T154321Z
LAST-MODIFIED:20230922T154321Z
UID:3251-1695740400-1695744000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (CMC)
DESCRIPTION:Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks (Continued) \nAbstract: Beilinson gave a resolution of the diagonal for complex projective space which yields a strong\, full exceptional collection of line bundles. Bayer-Popescu-Sturmfels generalized Beilinson’s result to a cellular resolution of the diagonal for what they called “unimodular” toric varieties (a more restrictive condition than being smooth)\, which can also be extended to smooth toric varieties and global quotient toric DM stacks of a smooth toric variety by a finite abelian group\, if we allow our resolution to have cokernel which is supported only along the vanishing of the irrelevant ideal. Here we show implications for exceptional collections of line bundles and a positive example for the modified King’s conjecture by giving a strong\, full exceptional collection of line bundles on a smooth\, non-unimodular nef-Fano complete toric surface.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-cmc-2/
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:20230919T150000
DTEND;TZID=America/Los_Angeles:20230919T160000
DTSTAMP:20260418T154423
CREATED:20230915T191657Z
LAST-MODIFIED:20230918T204921Z
UID:3237-1695135600-1695139200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (CMC)
DESCRIPTION:Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks \nAbstract: Beilinson gave a resolution of the diagonal for complex projective space which yields a strong\, full exceptional collection of line bundles. Bayer-Popescu-Sturmfels generalized Beilinson’s result to a cellular resolution of the diagonal for what they called “unimodular” toric varieties (a more restrictive condition than being smooth)\, which can also be extended to smooth toric varieties and global quotient toric DM stacks of a smooth toric variety by a finite abelian group\, if we allow our resolution to have cokernel which is supported only along the vanishing of the irrelevant ideal. Here we show implications for exceptional collections of line bundles and a positive example for the modified King’s conjecture by giving a strong\, full exceptional collection of line bundles on a smooth\, non-unimodular nef-Fano complete toric surface.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-cmc/
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:20230912T150000
DTEND;TZID=America/Los_Angeles:20230912T160000
DTSTAMP:20260418T154423
CREATED:20230913T073733Z
LAST-MODIFIED:20231006T053002Z
UID:3222-1694530800-1694534400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Robert Bowden (HMC)
DESCRIPTION:Title: Chebyshev Threadings in Skein Algebras for Punctured Surfaces \nAbstract: Skein algebras are algebras of links in a surface quotiented by diagram-based equivalence relations based on the Kauffman bracket. In the case of surfaces with punctures\, the skein algebra is generated by links as well as arcs between the punctures\, and there are additional skein relations for the arcs. We examine the algebraic structure of the punctured case\, finding a description of the central elements at certain roots of unity. Our construction is closely related to the one for the usual skein algebra\, where central elements come from threading links by Chebyshev polynomials.
URL:https://colleges.claremont.edu/ccms/event/chebyshev-threadings-in-skein-algebras-for-punctured-surfaces-robert-bowden-hmc/
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:20220503T150000
DTEND;TZID=America/Los_Angeles:20220503T160000
DTSTAMP:20260418T154423
CREATED:20230913T080534Z
LAST-MODIFIED:20230913T080534Z
UID:3232-1651590000-1651593600@colleges.claremont.edu
SUMMARY:On the Non-Orientable 4-Genus of Double Twist Knots\, Part II: Lower Bounds (Jim Hoste\, Pitzer College)
DESCRIPTION:The non-orientable 4-genus of a knot K is the smallest first Betti number of any non-orientable surface in the 4-ball spanning the knot. It is defined to be zero if the knot is slice. In joint work with Patrick Shanahan and Cornelia Van Cott\, we attempt to determine the value of this invariant for double twist knots. In an earlier talk at this seminar\, I presented methods of determining upper bounds by explicitly describing non-orientable spanning surfaces. In this talk I describe methods for establishing lower bounds using linking forms on 4-manifolds and a major result of Donaldson. These methods suffice to compute the non-oprientable 4-genus of several infinite families of double twist knots.
URL:https://colleges.claremont.edu/ccms/event/on-the-non-orientable-4-genus-of-double-twist-knots-part-ii-lower-bounds-jim-hoste-pitzer-college/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220412T150000
DTEND;TZID=America/Los_Angeles:20220412T160000
DTSTAMP:20260418T154423
CREATED:20230913T080353Z
LAST-MODIFIED:20230913T080353Z
UID:3231-1649775600-1649779200@colleges.claremont.edu
SUMMARY:Cusps in Convex Projective Geometry (Martin Bobb\, IHES)
DESCRIPTION:Convex real projective structures generalize hyperbolic structures in a rich way. We will discuss a class of manifolds introduced by Cooper Long and Tillmann\, which include finite-volume cusped hyperbolic manifolds and other manifolds with well-controlled ends. These manifolds have nice deformation theoretic properties\, and we will conclude with an existence theorem for novel structures on some hyperbolic manifolds.
URL:https://colleges.claremont.edu/ccms/event/cusps-in-convex-projective-geometry-martin-bobb-ihes/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220329T150000
DTEND;TZID=America/Los_Angeles:20220329T160000
DTSTAMP:20260418T154423
CREATED:20230913T080151Z
LAST-MODIFIED:20230913T080151Z
UID:3230-1648566000-1648569600@colleges.claremont.edu
SUMMARY:Kauffman Bracket Skein Modules and their Structure (Rhea Palak Bakshi\, ETH Zurich)
DESCRIPTION:Skein modules were introduced by Jozef H. Przytycki as generalisations of the Jones 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 notoriously hard\, especially over the ring of Laurent polynomials. With the goal of finding a definite structure of the KBSM over this ring\, several conjectures and theorems were stated over the years for KBSMs. We show that some of these conjectures\, and even theorems\, are not true. In this talk I will briefly discuss a counterexample to Marche’s generalisation of Witten’s conjecture. I will show that a theorem stated by Przytycki in 1999 about the KBSM of the connected sum of two handlebodies does not hold. I will also give the exact structure of the KBSM of the connected sum of two solid tori.
URL:https://colleges.claremont.edu/ccms/event/kauffman-bracket-skein-modules-and-their-structure-rhea-palak-bakshi-eth-zurich/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220322T150000
DTEND;TZID=America/Los_Angeles:20220322T160000
DTSTAMP:20260418T154423
CREATED:20230913T075943Z
LAST-MODIFIED:20230913T075943Z
UID:3229-1647961200-1647964800@colleges.claremont.edu
SUMMARY:Towards Knot Homology for 3-Manifolds (Aaron Mazel-Gee\, California Institute of Technology)
DESCRIPTION:The Jones polynomial is an invariant of knots in R^3. Following a proposal of Witten\, it was extended to knots in 3-manifolds by Reshetikhin-Turaev using quantum groups. Khovanov homology is a categorification of the Jones polynomial of a knot in R^3\, analogously to how ordinary homology is a categorification of the Euler characteristic of a space. It is a major open problem to extend Khovanov homology to knots in 3-manifolds. In this talk\, I will explain forthcoming work towards solving this problem\, joint with Leon Liu\, David Reutter\, Catharina Stroppel\, and Paul Wedrich. Roughly speaking\, our contribution amounts to the first instance of a braiding on 2-representations of a categorified quantum group. More precisely\, we construct a braided (infinity\,2)-category that simultaneously incorporates all of Rouquier’s braid group actions on Hecke categories in type A\, articulating a novel compatibility among them.
URL:https://colleges.claremont.edu/ccms/event/towards-knot-homology-for-3-manifolds-aaron-mazel-gee-california-institute-of-technology/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220308T150000
DTEND;TZID=America/Los_Angeles:20220308T160000
DTSTAMP:20260418T154423
CREATED:20230913T075742Z
LAST-MODIFIED:20230913T075742Z
UID:3228-1646751600-1646755200@colleges.claremont.edu
SUMMARY:Systematically Detecting Flypes and Hexagonal Mosaics (Hugh Howards\, Wake Forest University)
DESCRIPTION:We talk about building knots using mosaics which were as introduced as a way of modeling quantum knots by Lomonaco and Kauffman and a newer variant\, hexagonal mosaics\, introduced by Jennifer McLoud-Mann. In the process we find a new bound on crossing numbers for hexagonal mosaics and find an infinite family of knots which do not achieve their hexagonal mosaic number while also in a projection which achieves their crossing number\, extending a result of Lew Ludwig et al. In the process we introduce a new tool which makes it easier to systematically recognize when two knots differ by a sequence of Flypes (for example\, giving a process to recognize that the Perko Pair were in fact the same knot). No background with mosaics or flypes is necessary. This is joint work with Jiong Li* and Xiotian Liu* (* indicates undergraduate students).
URL:https://colleges.claremont.edu/ccms/event/systematically-detecting-flypes-and-hexagonal-mosaics-hugh-howards-wake-forest-university/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220301T150000
DTEND;TZID=America/Los_Angeles:20220301T160000
DTSTAMP:20260418T154423
CREATED:20230913T075541Z
LAST-MODIFIED:20230913T075541Z
UID:3226-1646146800-1646150400@colleges.claremont.edu
SUMMARY:Two-Bridge Knots Admit no Purely Cosmetic Surgeries (Thomas Mattman\, California State University\, Chico)
DESCRIPTION:(Joint with Ichihara\, Jong\, and Saito). We show that two-bridge knots admit no purely cosmetic surgeries\, ie no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are homeomorphic as oriented manifolds. Our argument is based on a recent result by Hanselman and a study of signature and finite type invariants of knots as well as the SL(2\,\C) Casson invariant.
URL:https://colleges.claremont.edu/ccms/event/two-bridge-knots-admit-no-purely-cosmetic-surgeries-thomas-mattman-california-state-university-chico/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220215T150000
DTEND;TZID=America/Los_Angeles:20220215T160000
DTSTAMP:20260418T154423
CREATED:20230913T075335Z
LAST-MODIFIED:20230913T075335Z
UID:3225-1644937200-1644940800@colleges.claremont.edu
SUMMARY:On Invariants for Surface-Links in Entropic Magmas via Marked Graph Diagrams (Seonmi Choi\, Kyungpook Natl U\, Korea)
DESCRIPTION:M. Niebrzydowski and J. H. Przytycki defined a Kauffman bracket magma and constructed the invariant P of framed links in 3-space. The invariant is closely related to the Kauffman bracket polynomial. The normalized bracket polynomial is obtained from the Kauffman bracket polynomial by the multiplication of indeterminate and it is an ambient isotopy invariant for links. In this talk\, we reformulate the multiplication by using a map from the set of framed links to a Kauffman bracket magma in order that P is invariant for links in 3-space. We define a generalization of a Kauffman bracket magma\, which is called a marked Kauffman bracket magma. We find the conditions to be invariant under Yoshikawa moves except the first one and use a map from the set of admissible marked graph diagrams to a marked Kauffman bracket magma to obtain the invariant for surface-links in 4-space.
URL:https://colleges.claremont.edu/ccms/event/on-invariants-for-surface-links-in-entropic-magmas-via-marked-graph-diagrams-seonmi-choi-kyungpook-natl-u-korea/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220208T150000
DTEND;TZID=America/Los_Angeles:20220208T160000
DTSTAMP:20260418T154423
CREATED:20230913T074942Z
LAST-MODIFIED:20230913T074942Z
UID:3223-1644332400-1644336000@colleges.claremont.edu
SUMMARY:Experimental Knot Music v2 (Sam Nelson\, CMC)
DESCRIPTION:In this talk I will recount the history of my knot theory-based music project and show an example of my method for creating music from knot homsets.
URL:https://colleges.claremont.edu/ccms/event/experimental-knot-music-v2-sam-nelson-cmc/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211026T150000
DTEND;TZID=America/Los_Angeles:20211026T160000
DTSTAMP:20260418T154423
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:2356-1635260400-1635264000@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-10-26/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
END:VCALENDAR