EVENT DETAILS AND ABSTRACT

Title: Noncommutative local monodromy theorem
Speaker: Vadim Vologodsky
Speaker Info: University of Oregon
Brief Description:
Special Note:
Abstract:

Let X\to D^* be a family of smooth projective varieties over the punctured disk. The Griffiths-Landman-Grothendieck ``Local Monodromy Theorem'' asserts that the Gauss-Manin connection on the de Rham cohomology H^*_{DR}(X/D^*) has a regular singularity at the origin and that the monodromy of this connection is quasi-unipotent. I will discuss a noncommutative generalization of this result, where the de Rham cohomology is replaced by the periodic cyclic homology of a smooth proper DG algebra over D^* equipped with the Gauss-Manin-Getzler connection. This talk is based on a joint work with Dmitry Vaintrob.