Back to Algebraic Geometry Seminar: Fall 2019
Algebraic Geometry Seminar
Date: Tuesday, Sep 17, 2019
Time: 3:30PM - 4:30PM
Location: LCB 222
Adrian Langer
University of Warsaw
Title |
Nearby-cycles and semipositivity in positive characteristic |
Abstract |
I will talk about an analogue of Hodge theory in positive characteristic. In particular, I will show analogues of Schmid’s nilpotent orbit theorem and nearby cycles in positive characteristic. As an application I will prove some strong semipositivity theorems for analogs of complex polarized variations of Hodge structures. This implies semipositivity for the relative canonical divisor of a semistable reduction and it also gives some new results over complex numbers. |
Algebraic Geometry