Notes of talks
Titles of series:
GL: statement of quantum geometric Langlands;
Wh: Whittaker categories;
Ja: Jacquet functors;
Ch: Chiral algebras and factorization;
FLE: Fundamental local equivalence.
Day 1:
GL-1: D. Gaitsgory, Introduction to quantum local geometric Langlands. (notes by
Tony Feng)
T-1: Y. Fu, Tutorial on groups acting on categories.
Wh-1: D. Beraldo, The Whittaker model.
GL-2: Y. Zhao, The quantum parameter.
GL-3: D. Arinkin, The global quantum geometric theory.
T-1a: S. Raskin, Additional tutorial on actions of groups on categories
Day 2:
Ch-1: D. Gaitsgory, The factorization category of D-modules on the affine Grassmannian.
T-2: Q. Ho, Tutorial on factorization algebras and categories.
Wh-2: D. Beraldo, Proof of the equivalence of the two versions of the Whittaker model.
Ja-1: S. Raskin, Jacquet functors for actions of loops groups on categories.
T-2a: D. Gaitsgory, Additional tutorial on factorization algebras and categories
GL-4: S. Lysenko, Quantum Satake equivalence.
Day 3:
T-3: J. Tao, Tutorial on the functor of weak invariants of a group acting strongly on a category.
GL-5: S. Raskin, The functor of weak L(G)-invariants.
GL-6: D. Arinkin, Spectral side in the classical case.
Wh-3: D. Gaitsgory, Statement of local quantum Langlands. (notes by
Gurbir Dhillon)
GL-7: S. Raskin, Quantum Langlands for G being a torus.
Day 4:
Ja-2: J. Campbell, Jacquet functors and Langlands duality.
T-4: S. Riche, Tutorial on quantum groups.
T-5: N. Rozenblyum, Tutorial on factorization vs braided monoidal categories.
Ch-2: D. Gaitsgory, The factorization algebra Ωq (or how Nature encodes root data).
Ja-3: L. Chen, Jacquet functor on Kac-Moody modules and the Kazhdan-Lusztig equivalence.
Wh-4: D. Yang, Duality for W-algebras.
Day 5:
Wh-5: D. Gaitsgory, Jacquet functor of the Whittaker category–getting down to combinatorics (notes by Raeez Lorgat); (literal transcription).