# Algebraic Geometry Seminar Spring 2016

The seminar meets on Fridays at 2:25 pm in Van Vleck B113.

The schedule for the previous semester is here.

## Contents

## 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.