# 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.

## Schedule

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*

## References

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.