Lecture

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Lecture

Speaker

Boris Tsygan (Northwestern University)

Date

November 28 (Thu), 14:00--16:00, 2019

Room

RIMS, Rm 110

Title

On noncommutative geometry of algebras in positive characteristic

Abstract

Noncommutative geometry is a theory that takes an associative algebra and assigns to it invariants in such a way that, if the algebra is question is an algebra of functions on a variety, one gets geometric/topological invariants of this variety. For a variety over complex numbers one can recover much of the usual calculus of differential forms, as well as De Rham cohomology. We will show how to generalize this to algebras over a field of positive characteristic. The talk is an introductory review of recent works of Kaledin, Petrov-Vologodsky, and myself.

Comments Takuro Mochizuki

Speaker

Boris Tsygan (Northwestern University)

Date

November 25 (Mon), 14:00--16:00, 2019

Room

RIMS, Rm 110

Title

Microlocal invariants of symplectic manifolds

Abstract

I will discuss how to construct a category starting with a symplectic manifold using microlocal methods, following works of Tamarkin, Nadler-Zaslow, and myself. The talk will be very introductory and concentrate mainly on examples of the plane, cylinder, and 2-torus.

Comments Takuro Mochizuki

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