Algebra and Algebraic Geometry Seminar Spring 2024: Difference between revisions
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|February 16 | |February 16 | ||
|Sean Cotner (Michigan) | |Sean Cotner (Michigan) | ||
| | |Schemes of homomorphisms | ||
|Josh | |Josh | ||
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==Abstracts== | ==Abstracts== | ||
===Sean Cotner=== | ===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. | |||
Revision as of 14:11, 9 February 2024
The seminar normally meets 2:30-3:30pm on Fridays, in the room TBA.
Algebra and Algebraic Geometry Mailing List
- 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.