# Difference between revisions of "Algebraic Geometry Seminar Fall 2017"

(→Fall 2017 Schedule) |
|||

Line 23: | Line 23: | ||

|[[#Michael Brown|Topological K-theory of equivariant singularity categories]] | |[[#Michael Brown|Topological K-theory of equivariant singularity categories]] | ||

|local | |local | ||

+ | |||

+ | - | ||

+ | |October 9 (Monday!!) | ||

+ | |[http://www.math.utah.edu/~bertram/ Aaron Bertram (Utah)] | ||

+ | |[[#Aaron Bertram|LePotier's Strange Duality and Quot Schemes]] | ||

+ | |Andrei | ||

|- | |- | ||

Line 38: | Line 44: | ||

This is joint work with Tobias Dyckerhoff. Topological K-theory of complex-linear dg categories is a notion introduced by Blanc in his recent article "Topological K-theory of complex noncommutative spaces". In this talk, I will discuss a calculation of the topological K-theory of the dg category of graded matrix factorizations associated to a quasi-homogeneous polynomial with complex coefficients in terms of a classical topological invariant of a complex hypersurface singularity: the Milnor fiber and its monodromy. | This is joint work with Tobias Dyckerhoff. Topological K-theory of complex-linear dg categories is a notion introduced by Blanc in his recent article "Topological K-theory of complex noncommutative spaces". In this talk, I will discuss a calculation of the topological K-theory of the dg category of graded matrix factorizations associated to a quasi-homogeneous polynomial with complex coefficients in terms of a classical topological invariant of a complex hypersurface singularity: the Milnor fiber and its monodromy. | ||

+ | |||

+ | ===Aaron Bertram=== | ||

+ | |||

+ | '''LePotier's Strange Duality and Quot Schemes''' | ||

+ | Finite schemes of quotients over a smooth curve are a vehicle | ||

+ | for proving strange duality for determinant line bundles on | ||

+ | moduli spaces of vector bundles on Riemann surfaces. This was observed | ||

+ | by Marian and Oprea. In work with Drew Johnson and Thomas Goller, | ||

+ | we extend this idea to del Pezzo surfaces, where we are able to use it to prove cases of Le Potier's strange duality conjecture. |

## Revision as of 12:32, 25 September 2017

The seminar meets on Fridays at 2:25 pm in Van Vleck B321.

Here is the schedule for the previous semester.

## 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).

## Fall 2017 Schedule

date | speaker | title | host(s) | ||||
---|---|---|---|---|---|---|---|

October 6 | Michael Brown (UW-Madison) | Topological K-theory of equivariant singularity categories | local
- |
October 9 (Monday!!) | Aaron Bertram (Utah) | LePotier's Strange Duality and Quot Schemes | Andrei |

December 1st | Juliette Bruce (UW-Madison) | tba | local |

## Abstracts

### Michael Brown

**Topological K-theory of equivariant singularity categories**

This is joint work with Tobias Dyckerhoff. Topological K-theory of complex-linear dg categories is a notion introduced by Blanc in his recent article "Topological K-theory of complex noncommutative spaces". In this talk, I will discuss a calculation of the topological K-theory of the dg category of graded matrix factorizations associated to a quasi-homogeneous polynomial with complex coefficients in terms of a classical topological invariant of a complex hypersurface singularity: the Milnor fiber and its monodromy.

### Aaron Bertram

**LePotier's Strange Duality and Quot Schemes**
Finite schemes of quotients over a smooth curve are a vehicle
for proving strange duality for determinant line bundles on
moduli spaces of vector bundles on Riemann surfaces. This was observed
by Marian and Oprea. In work with Drew Johnson and Thomas Goller,
we extend this idea to del Pezzo surfaces, where we are able to use it to prove cases of Le Potier's strange duality conjecture.