Algebraic Geometry Seminar Fall 2017

From UW-Math Wiki
Revision as of 12:38, 26 October 2017 by Lmao (talk | contribs)
Jump to navigation Jump to search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

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

Here is the schedule for the previous semester.

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!!, 3:30-4:30, B119) Aaron Bertram (Utah) LePotier's Strange Duality and Quot Schemes Andrei
October 27 Mao Li (UW-Madison) Poincare sheaf on the stack of rank two Higgs bundles local
November 3 Dario Beraldo (Oxford) tba Dima
December 1 Jonathan Wang (IAS) Dima
December 8 Melody Chan (Brown)) tba Jordan

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.

Mao Li

Poincare sheaf on the stack of rank two Higgs bundles It is well known that for a smooth projective curve, there exists a Poincare line bundle on the product of the Jacobian of the curve which is the universal family of topologically trivial line bundles of the Jacobian. It is natural to ask whether similar results still hold for the compactified Jacobian of singular curves. There has been a lot of work in this problem. In this talk I will sketch the construction of the Poincare sheaf for spectral curves in Hitchin fibration. The new feature is that we are able to extend the construction of Poincare sheaf to nonreduced spectral curves.