Algebra and Algebraic Geometry Seminar Spring 2024

The seminar normally meets 2:30-3:30pm on Fridays, in the room TBA.

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• Please join the AGS mailing list by sending an email to ags+join@g-groups.wisc.edu to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).

Spring 2024 Schedule

date	speaker	title	host/link to talk
February 16	Sean Cotner (Michigan)	Schemes of homomorphisms	Josh
February 23	Lingfei Yi (Minnesota)	TBA	Dima/Josh
March 18 (Monday)	Marton Hablicsek	TBA	Andrei/Dima
March 29	TBA	TBA	Josh

Abstracts

Sean Cotner

Schemes of homomorphisms

Given two algebraic groups G and H, it is natural to ask whether the set Hom(G, H) of homomorphisms from G to H can be parameterized in a useful way. In general, this is not possible, but there are well-known partial positive results (mainly due to Grothendieck). In this talk I will describe essentially optimal conditions on G and H under which Hom(G, H) is a scheme. There will be many examples, and we will see how a geometric perspective on Hom(G, H) can be useful in studying concrete questions. Time permitting, I will discuss some aspects of the theory of Hom schemes over a base.