Algebra and Algebraic Geometry Seminar Fall 2023: Difference between revisions
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|Joshua Mundinger | |||
|Quantization in positive characteristic | |||
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=== Joshua Mundinger === | |||
==== Quantization in positive characteristic ==== | |||
In order to answer basic questions in modular and geometric representation theory, Bezrukavnikov and Kaledin introduced quantizations of symplectic varieties in positive characteristic. These are certain noncommutative algebras over a field of positive characteristic which have a large center. I will discuss recent work describing how to construct an important class of modules over such algebras. | |||
===Purnaprajna Bangere=== | ===Purnaprajna Bangere=== | ||
Revision as of 13:34, 5 September 2023
The seminar normally meets 2:30-3:30pm on Fridays, in the room VV B223.
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).
Fall 2023 Schedule
| date | speaker | title | host/link to talk |
|---|---|---|---|
| September 15 | Joshua Mundinger | Quantization in positive characteristic | local |
| November 17 | Purnaprajna Bangere | Syzygies of adjoint linear series on projective varieties | Michael K |
Abstracts
Joshua Mundinger
Quantization in positive characteristic
In order to answer basic questions in modular and geometric representation theory, Bezrukavnikov and Kaledin introduced quantizations of symplectic varieties in positive characteristic. These are certain noncommutative algebras over a field of positive characteristic which have a large center. I will discuss recent work describing how to construct an important class of modules over such algebras.
Purnaprajna Bangere
Syzygies of adjoint linear series on projective varietiess
Syzygies of algebraic varieties have long been a topic of intense interest among algebraists and geometers alike. After the pioneering work of Mark Green on curves, numerous attempts have been made to extend some of these results to higher dimensions. It has been proposed that the syzygies of adjoint linear series L=K+mA, with A ample is a natural analogue for higher dimensions to explore. The very ampleness of adjoint linear series is not known for even threefolds. So the question that has been open for many years is the following (Question): If A is base point free and ample, does L satisfy property N_p for m>=n+1+p? Ein and Lazarsfeld proved this when A is very ample in 1991. In a joint work with Justin Lacini, we give a positive answer to the original question above.