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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250919T110000
DTEND;TZID=America/Los_Angeles:20250919T120000
DTSTAMP:20250917T194549Z
CREATED:20250903T163230Z
LAST-MODIFIED:20250917T194549Z
UID:10002071-1758279600-1758283200@colleges.claremont.edu
SUMMARY:NO CCMS Colloquium this Friday!
DESCRIPTION:We’ll be back next week!
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250912T110000
DTEND;TZID=America/Los_Angeles:20250912T120000
DTSTAMP:20250909T001255Z
CREATED:20250903T160356Z
LAST-MODIFIED:20250909T001255Z
UID:10002070-1757674800-1757678400@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Morse theory\, Floer homology\, and string topology (Ko Honda\, UCLA)
DESCRIPTION:CCMS Colloquium invites you to a talk by Professor Ko Honda\, Professor of Mathematics at UCLA. \nTitle: Morse theory\, Floer homology\, and string topology \nAbstract: One of the most important theories in geometry/topology is Floer homology\, which can be viewed as a Morse theory of a loop space of a manifold (a generalization of a surface to higher dimensions).  The aim of this talk is to give a gentle pictorial introduction to Morse theory for surfaces and then upgrade it in two steps: to Morse theory of loop spaces (e.g.\, of the 2-dimensional sphere) and then to “multiloops” (collections of many loops).  The last upgrade is intimately related to a mathematical model for string theory called “string topology”\, due to Chas-Sullivan\, and to quantum topology via the HOMFLY polynomial of knots/links. \nSpeaker Bio: Ko Honda is an entirely American-trained mathematician\, receiving his BA and MA from Harvard University in 1992 and PhD from Princeton University in 1997.  After postdocs/visiting positions at Duke\, the University of Georgia\, the American Institute of Mathematics\, and IHES\, he arrived in LA in 2001\, was a faculty member at USC for 12.5 years\, and then moved across town to UCLA\, where he has been for the last 11.5 years.  Sometime during his postdoc at Duke\, he discovered/invented an object called a “bypass” in contact geometry\, which allowed him to simplify the analysis of 3-dimensional contact manifolds and solve several open problems in that area\, some in joint work with Colin\, Etnyre\, and Giroux.  He has been working on contact and symplectic geometry ever since\, gradually branching out into adjacent areas (e.g.\, low-dimensional topology\, Floer theory\, and quantum topology) in the intervening years.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-presents-title-ko-honda/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241203T150000
DTEND;TZID=America/Los_Angeles:20241203T160000
DTSTAMP:20241202T162645Z
CREATED:20240928T045355Z
LAST-MODIFIED:20241202T162645Z
UID:10001937-1733238000-1733241600@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:20241105T150000
DTEND;TZID=America/Los_Angeles:20241105T160000
DTSTAMP:20241025T175032Z
CREATED:20240928T045017Z
LAST-MODIFIED:20241025T175032Z
UID:10002166-1730818800-1730822400@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:20241022T150000
DTEND;TZID=America/Los_Angeles:20241022T163000
DTSTAMP:20241015T012146Z
CREATED:20241015T012146Z
LAST-MODIFIED:20241015T012146Z
UID:10001939-1729609200-1729614600@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:20240928T044059Z
CREATED:20240928T044059Z
LAST-MODIFIED:20240928T044059Z
UID:10002165-1727794800-1727798400@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:20231128T150000
DTEND;TZID=America/Los_Angeles:20231128T160000
DTSTAMP:20231115T195911Z
CREATED:20231115T195911Z
LAST-MODIFIED:20231115T195911Z
UID:10002148-1701183600-1701187200@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:20231104T141022Z
CREATED:20231104T140011Z
LAST-MODIFIED:20231104T141022Z
UID:10002147-1699974000-1699977600@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:20231016T154054Z
CREATED:20230916T033519Z
LAST-MODIFIED:20231016T154054Z
UID:10002143-1699369200-1699372800@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:20231030T204415Z
CREATED:20230918T204526Z
LAST-MODIFIED:20231030T204415Z
UID:10002145-1698764400-1698768000@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:20231017T231659Z
CREATED:20230918T204340Z
LAST-MODIFIED:20231017T231659Z
UID:10002144-1698159600-1698163200@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:20231006T052904Z
CREATED:20230915T192038Z
LAST-MODIFIED:20231006T052904Z
UID:10002142-1696950000-1696953600@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:20231006T052910Z
CREATED:20231006T052456Z
LAST-MODIFIED:20231006T052910Z
UID:10002129-1696345200-1696348800@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:20230922T154321Z
CREATED:20230922T154321Z
LAST-MODIFIED:20230922T154321Z
UID:10002146-1695740400-1695744000@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:20230918T204921Z
CREATED:20230915T191657Z
LAST-MODIFIED:20230918T204921Z
UID:10002141-1695135600-1695139200@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:20231006T053002Z
CREATED:20230913T073733Z
LAST-MODIFIED:20231006T053002Z
UID:10002120-1694530800-1694534400@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:20230913T080534Z
CREATED:20230913T080534Z
LAST-MODIFIED:20230913T080534Z
UID:10002128-1651590000-1651593600@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:20230913T080353Z
CREATED:20230913T080353Z
LAST-MODIFIED:20230913T080353Z
UID:10002127-1649775600-1649779200@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:20230913T080151Z
CREATED:20230913T080151Z
LAST-MODIFIED:20230913T080151Z
UID:10002126-1648566000-1648569600@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:20230913T075943Z
CREATED:20230913T075943Z
LAST-MODIFIED:20230913T075943Z
UID:10002125-1647961200-1647964800@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:20230913T075742Z
CREATED:20230913T075742Z
LAST-MODIFIED:20230913T075742Z
UID:10002124-1646751600-1646755200@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:20230913T075541Z
CREATED:20230913T075541Z
LAST-MODIFIED:20230913T075541Z
UID:10002123-1646146800-1646150400@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:20230913T075335Z
CREATED:20230913T075335Z
LAST-MODIFIED:20230913T075335Z
UID:10002122-1644937200-1644940800@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:20230913T074942Z
CREATED:20230913T074942Z
LAST-MODIFIED:20230913T074942Z
UID:10002121-1644332400-1644336000@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:20211207T150000
DTEND;TZID=America/Los_Angeles:20211207T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001965-1638889200-1638892800@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-12-07/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211130T150000
DTEND;TZID=America/Los_Angeles:20211130T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001964-1638284400-1638288000@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-11-30/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211116T150000
DTEND;TZID=America/Los_Angeles:20211116T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001963-1637074800-1637078400@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-11-16/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211109T150000
DTEND;TZID=America/Los_Angeles:20211109T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001962-1636470000-1636473600@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-11-09/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211102T150000
DTEND;TZID=America/Los_Angeles:20211102T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001961-1635865200-1635868800@colleges.claremont.edu
SUMMARY:Topology Seminar
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/topology-seminar-2021-09-21-2021-10-26/2021-11-02/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211026T150000
DTEND;TZID=America/Los_Angeles:20211026T160000
DTSTAMP:20211011T195808Z
CREATED:20210914T225152Z
LAST-MODIFIED:20211011T195808Z
UID:10001960-1635260400-1635264000@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