Noncommutative Geometry

Title: Rigidity, the Goodwillie regulator, and the Gauss-Manin connection over p-adic integers.
Speaker: Boris Tsygan
Speaker Info: Northwestern University
Brief Description:
Special Note:

Periodic cyclic homology of associative algebras generalizes in many ways DeRham cohomology and more generally crystalline cohomology of algebraic varieties over a field of characteristic zero. Among the properties of De Rham cohomology that can be so generalized are: rigidity under infinitesimal deformations and a regulator map from relative algebraic K theory to relative cyclic homology of a nilpotent ideal (Goodwillie), and the Gauss-Manin connection (Getzler). I will explain how these results generalize to p-adic completions of cyclic complexes over p-adic integers. These generalizations develop recent results of Beilinson and Petrov-Vologodsky.
Date: Monday, April 22, 2019
Time: 3:00pm
Where: Lunt 107
Contact Person: Boris Tsygan
Contact email: b-tsygan@northwestern.edu
Contact Phone:
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