(Freiburg, 2012)

**Lectures by D. Nadler: **

- Lecture 1 (introduction, flag varieties, loop groups, affine Grassmanian)
- Lecture 2 (sheaves as linearization of geometry, nearby and vanishing cycles, microlocal definition of perverse sheaves)
- Lecture 3 (towards (geometric) Hecke algebras)
- Lecture 4 (Geometric Satake)
- Lecture 5 (Beilinson-Drinfeld Grassmanian, convolution and nearby cycles, Gaitsgory's construction of the centre of the affine Hecke algebra via nearby cycles)

**Lectures by T. Pantev: **

- Lecture 1 (introduction, Bun_G, Loc, Hecke operators, Wilson operators, Drinfeld's best hope)
- Lecture 2 (why the best hope fails)
- Lecture 3 (first steps towards fixing the best hope, compact objects, perfect complexes, singular support for ind-coherent sheaves)
- Lecture 4 (more on singular support, the Arinkin-Gaitsgory result, the classical limit of the conjecture)
- Lecture 5 (proof of the classical limit of the conjecture)

*Last updated: 19 August, 2012*