Seminar on Bezrukavnikov's equivalence

The goal is to understand a theorem of Bezrukavnikov giving geometric realizations of affine Hecke algebras. You can find a program for the seminar here.
Organizers: Bhargav Bhatt, Jacob Lurie, Kenta Suzuki, Mingjia Zhang
When? Fridays 2-4PM at Simonyi Hall 101

Schedule

January 30 (Kenta). Organization and Introduction Notes
February 6 (Yuta). Representation-theoretic background Notes
February 13 (Feliks). Geometry of affine Grassmannian and flag varieties
Febuary 20 (Longke). Geometric Satake I: The Satake category
Febuary 27 (Elias). Geometric Satake II: The commutativity constraint
March 6 (Jacob). Geometric Satake III: Constant term functors
March 13 (Xingzhu). Geometric Satake IV: Identification of the dual group
March 20 (Quanlin). Geometric Satake V: Derived Satake
March 27 (Mingjia). Springer and Steinberg varieties
April 3 (Naomi). Iwahori Hecke algebra and their representations
April 10 (Bhargav). Gaitsgory's central functor I: Construction
April 17 (Longke). Gaitsgory's central functor II: Centrality
April 24 (Xingzhu). Wakimoto sheaves and Wakimoto filtration
May 1 (Michael). Arkhipov-Bezrukavnikov Equivalence I: Construction
May 4 (Guido). Arkhipov-Bezrukavnikov Equivalence II: Whittaker-averaging
May 8 (Kenta). Arkhipov-Bezrukavnikov Equivalence III: Proof

References

Main References

P. Achar and S. Riche, Central sheaves on affine flag varieties, link
J. Anschutz, J. Lourenco, J. Wu, J. Yu, Gaitsgory's central functor and the Arkhipov-Bezrukavnikov equivalence in mixed characteristic, link
S. Arkhipov, R. Bezrukavnikov, Perverse sheaves on affine flags and Langlands dual group, link
R. Bezrukavnikov, On two geometric realizations of an affine Hecke algebra, link