Algebraic Geometry Seminar Spring 2016: Difference between revisions
| Line 108: | Line 108: | ||
My method is based on the generalized Beilinson spectral sequence, | My method is based on the generalized Beilinson spectral sequence, | ||
Bridgeland stability and moduli spaces of Kronecker modules. | Bridgeland stability and moduli spaces of Kronecker modules. | ||
===Daniel Erman=== | |||
Supernatural analogues of Beilinson monads | |||
First I will discuss Beilinson's resolution of the diagonal and some of the applications of that construction including the notion of a Beilinson. Then I will discuss new work, joint with Steven Sam, where we use supernatural bundles to build GL-equivariant resolutions supported on the diagonal of P^n x P^n, in a way that extends Beilinson's resolution of the diagonal. I will discuss some applications of these new constructions. | |||
Revision as of 14:57, 28 January 2016
The seminar meets on Fridays at 2:25 pm in Van Vleck B113.
The schedule for the previous semester is here.
Algebraic Geometry Mailing List
- Please join the AGS Mailing List 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 2016 Schedule
| date | speaker | title | host(s) |
|---|---|---|---|
| January 22 | Tim Ryan (UIC) | Moduli Spaces of Sheaves on \PP^1 \times \PP^1 | Daniel |
| January 29 | Local | ||
| February 5 | Botong Wang (Wisconsin) | Topological Methods in Algebraic Statistics | Local |
| February 12 | Jay Yang (Wisconsin) | Random Toric Surfaces | Local |
| February 19 | Daniel Erman (Wisconsin) | Supernatural Analogues of Beilinson Monads | |
| February 26 | TBD | ||
| March 4 | Claudiu Raicu (Notre Dame) | TBA | Steven |
| March 11 | TBD | ||
| March 18 | Spring break | ||
| March 25 | TBD | ||
| April 1 | TBD | ||
| April 8 | TBD | ||
| April 15 | TBD | ||
| April 22 | TBD | ||
| April 29 | David Anderson (Ohio State) | TBA | Steven |
| May 6 | TBD |
Abstracts
Tim Ryan
Moduli Spaces of Sheaves on \PP^1 \times \PP^1
In this talk, after reviewing the basic properties of moduli spaces of sheaves on P^1 x P^1, I will show that they are $\mathbb{Q}$-factorial Mori Dream Spaces and explain a method for computing their effective cones. My method is based on the generalized Beilinson spectral sequence, Bridgeland stability and moduli spaces of Kronecker modules.
Daniel Erman
Supernatural analogues of Beilinson monads
First I will discuss Beilinson's resolution of the diagonal and some of the applications of that construction including the notion of a Beilinson. Then I will discuss new work, joint with Steven Sam, where we use supernatural bundles to build GL-equivariant resolutions supported on the diagonal of P^n x P^n, in a way that extends Beilinson's resolution of the diagonal. I will discuss some applications of these new constructions.