Singular support and geometric Langlands seminar
Here one can find some information on the seminar (involving members of CRC 701) based around a
recent preprint of Arinkin and Gaitsgory.
The current (still somewhat tentative) schedule of talks is as follows:
Wednesday, 18 April 2012
15:45, U5-133, Ivo Dell'Ambrogio: Introduction to support theory for derived categories (90 minutes)
Abstract: I will present the classical notions of (homological) support in algebraic geometry, and its axiomatization in the language of triangulated categories due to Benson, Iyengar and Krause. I will discuss several examples covered by the theory.
Wednesday, 02 May 2012
15:45, U5-133, Thomas Zink: Introduction to the geometric Langlands correspondence (90 minutes)
Wednesday, 16 May 2012
15:45, U5-133, Ivo Dell'Ambrogio: Introduction to support theory for derived categories - Part 2 (90 minutes)
Wednesday, 30 May 2012
15:45, U5-133, Jesse Burke: DG-schemes after Arinkin-Gaitsgory
Abstract: I will give the (rather involved) definition of DG-schemes after Arinkin-Gaitsgory, and try to give background and motivation for the definition.
Wednesday, 20 June 2012
15:45, U5-133, Greg Stevenson: Singular support for classical complete intersections
Proposed future topics and talks
Here is a collection of proposed/suggested future topics (together with candidate speakers in some cases):
Greg Stevenson: Quasi-smooth DG schemes and derived complete intersections
Markus Perling: Singular support of ind-coherent sheaves
A collection of references concerning both the required preliminaries and related work (suggestions are of course welcome):
- The preprint by Arinkin and Gaitsgory.
- A great deal of the required preliminaries can be found on Dennis Gaitsgory's website
- Surveys on some aspects of Geometric Langlands by Laumon and Frenkel
- Further background on derived algebraic geometry can be found in part 1 and part 2 of the foundational work by Toën and Vezzosi.