Langlands & ARithmetic GEometry Nearly Every Week

A wide-ranging seminar meeting on Mondays 3-4pm in S17-0405.

Please contact Dave, Ian or Si Ying if you'd like to give a talk!

Talks

August 25 (2pm in S17-0611): Adeel Khan (Academia Sinica)
Title: Perverse pullbacks for (-1)-shifted symplectic fibrations
Abstract: I will discuss a new type of pullback operation on perverse sheaves, which is defined for morphisms of complex algebraic stacks equipped with a certain extra structure, namely that of a so-called relative exact (-1)-shifted symplectic fibration. These perverse pullbacks are closely related to classical operations such as vanishing cycles functors and the Fourier-Sato transform. They also vastly generalize the theory of Donaldson-Thomas invariants of Calabi-Yau threefolds, and we will sketch how they lead to a proof of a conjecture of Joyce about their functoriality. Time permitting, I will attempt to briefly survey some applications of these constructions to topics like cohomological Hall algebras, curve counting on Landau-Ginzburg models, and the period sheaves for Hamiltonian G-spaces conjectured by Ben-Zvi, Sakellaridis, and Venkatesh. This is a report on joint work in progress with Tasuki Kinjo, Hyeonjun Park, and Pavel Safronov.

September 1: Dave
Title: Some computations with categorical local Langlands

September 29: Yifei Zhao (University of Münster)

December 8: Yuta Takaya (University of Tokyo)