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X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
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DTSTART;TZID=America/Los_Angeles:20241105T150000
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DTSTAMP:20260606T065441
CREATED:20240928T045017Z
LAST-MODIFIED:20241025T175032Z
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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
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DTSTART;TZID=America/Los_Angeles:20241112T150000
DTEND;TZID=America/Los_Angeles:20241112T160000
DTSTAMP:20260606T065441
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
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DTSTART;TZID=America/Los_Angeles:20241119T150000
DTEND;TZID=America/Los_Angeles:20241119T160000
DTSTAMP:20260606T065441
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
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