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DTSTART;TZID=America/Los_Angeles:20260407T121500
DTEND;TZID=America/Los_Angeles:20260407T131000
DTSTAMP:20260517T005944
CREATED:20260120T211724Z
LAST-MODIFIED:20260331T041748Z
UID:3963-1775564100-1775567400@colleges.claremont.edu
SUMMARY:Tropical linear series and matroids (Dagan Karp\, HMC)
DESCRIPTION:In this talk\, I’ll attempt to give a friendly introduction to tropical linear series and explore their relationship to matroid theory. Along the way\, we’ll stop to admire the beautiful view from enumerative geometry and combinatorics. This is joint work with Chih-Wei Chang\, Matthew Dupraz\, Hernan Iriarte\, David Jensen\, Sam Payne\, and Jidong Wang\, and also with Jenna Luo. 
URL:https://colleges.claremont.edu/ccms/event/antc-talk-dagan-karp-hmc-2/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260414T121500
DTEND;TZID=America/Los_Angeles:20260414T131000
DTSTAMP:20260517T005944
CREATED:20260123T051413Z
LAST-MODIFIED:20260407T032128Z
UID:3971-1776168900-1776172200@colleges.claremont.edu
SUMMARY:Knot complements\, series invariants and Lie superalgebra (John Yoonseok Chae)
DESCRIPTION:Inspired by the categorification program for a numerical invariant of three-manifolds\, series invariants for closed manifolds and for knot complements were introduced. This in turn motivated an extension of the series invariant of the former case to Lie superalgebras. It was recently generalized to knot complements. In this talk\, we review the original series invariants and introduce the recent generalization and explore its properties and examples.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-helen-wong-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20260421T121500
DTEND;TZID=America/Los_Angeles:20260421T131000
DTSTAMP:20260517T005944
CREATED:20260123T053557Z
LAST-MODIFIED:20260415T053435Z
UID:3972-1776773700-1776777000@colleges.claremont.edu
SUMMARY:Diophantine avoidance\, primitive elements\, and normal basis theorem (Sehun Jeong\, CMC)
DESCRIPTION:Diophantine avoidance has been studied by several authors in recent years. This refers to effective results on existence of points of bounded size in a given algebraic set avoiding some specified subsets. The famous primitive element theorem states that every number field K is of the form Q(a) for some element a in K. From the proof of this theorem\, it is clear that not only there are infinitely many such primitive elements in K\, but in fact most elements in K are primitive. One natural question to ask is about finding a primitive element of small “size”\, where we use a height function to measure size. We discuss the conjecture of Ruppert and known results in this direction\, as well as our recent work on this problem. In addition\, we provide the standard and effective version of normal basis theorem\, obtaining an explicit bound in terms of the degree and discriminant of K\, where K/Q is a Galois extension. At the end\, we discuss a particularly good bound in the case of prime degree. This is joint work with Lenny Fukshansky.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sehun-jeong-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260428T121500
DTEND;TZID=America/Los_Angeles:20260428T131000
DTSTAMP:20260517T005944
CREATED:20260123T011543Z
LAST-MODIFIED:20260422T205356Z
UID:3970-1777378500-1777381800@colleges.claremont.edu
SUMMARY:Coordinate ring of the universal centralizer via Demazure operators (Tom Gannon\, UCR)
DESCRIPTION:One of the key objects used in Ngo’s proof of the fundamental lemma is the group scheme of universal centralizers associated to a split reductive group G. In this talk\, we’ll discuss forthcoming work\, joint with Victor Ginzburg\, which describes the coordinate ring of the group scheme of universal centralizers in terms of the root datum of G using Demazure (or divided difference) operators. We will then discuss how our result follows from a more general computation on Weil restriction and\, time permitting\, we will discuss a potential generalization of our result to Coulomb branches.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-tom-gannon-ucr/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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