講演会

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講演会

講演者

Boris Tsygan (Northwestern University)

日程

2019年11月28日(木曜日) 14:00--16:00 (日程変更の可能性あり)

Room

京都大学 数理解析研究所本館 110号室

タイトル

On noncommutative geometry of algebras in positive characteristic

アブストラクト

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.

連絡先 望月拓郎

講演者

Boris Tsygan (Northwestern University)

日程

2019年11月25日(月曜日) 14:00--16:00 (日程変更の可能性あり)

Room

京都大学 数理解析研究所本館 110号室

タイトル

Microlocal invariants of symplectic manifolds

アブストラクト

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.

連絡先 望月拓郎

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Research Institute for Mathematical Sciences (RIMS)