# Cohomology Seminar

## 2024

#### Jan. 19, 11am, R638: Adeel

##### Derived Weil restriction

I'll talk about Weil restriction in derived algebraic geometry, and what this has to do with blow-ups and deformation to the normal cone. Based on forthcoming joint work with Jeroen Hekking and David Rydh.

#### Jan. 26, 11am, R638: Nawaz

##### Quantum K-Theory of a Point

I plan to review the basics of (permutation-equivariant) quantum K-theory and discuss computations related to the quantum K-theory of a point. In particular, I'll try to explain how the quantum K-theory of a point is important in many localization computations, and why the high genus theory is particularly difficult compared to the cohomological theory.

#### Feb. 16, 2pm, R638: Adeel

##### Virtual orbifold GRR

I will talk about a virtual, relative, and orbifold version of Riemann-Roch. Based on work in progress with Charanya Ravi.

#### Mar. 1, 2pm, R638: Wille

##### Braden's hyperbolic restriction theorem

Braden's hyperbolic restriction theorem is a powerful tool for proving functorial properties of D-modules and constructible sheaves. It has a vast amount of applications in the geometric representation theory. In this talk, I will explain a proof of it following the paper of Drinfeld and Gaitsgory and illustrate its significance via examples.

#### Mar. 8, 2pm, R638: Emile

##### TBA

TBA

## 2023

#### Nov. 27, 2pm, R638: Adeel Khan

##### Derived Fourier transforms

Various sheaf-theoretic incarnations of the Fourier transform have been introduced by Deligne, Sato, Brylinski-Malgrange-Verdier and others. I will discuss how these can be generalized to derived vector bundles (or perfect complexes). After briefly indicating why one might want such a thing, I will sketch a proof that the derived Fourier transform is involutive.

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