Семинары: В. Вологодский, Noncommutative local monodromy theorem

СЕМИНАРЫ


Семинар Лаборатории алгебраической геометрии и ее приложений 21 декабря 2012 г. 17:00, г. Москва, ул. Вавилова, 7

Noncommutative local monodromy theorem В. Вологодский Университет Орегона
Аннотация: 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.