EVENT DETAILS AND ABSTRACT

Title: Vanishing theorems in algebraic geometry
Speaker: Bhargav Bhatt
Speaker Info: IAS/Princeton
Brief Description:
Special Note:
Abstract:

Vanishing theorems in complex geometry, such as the Kodaira vanishing theorem, play an important role in understanding the structure of complex algebraic varieties. Ultimately, they rely on critical input from Hodge theory. After recalling some aspects of this story, I will discuss analogous results in mixed characteristic as well as applications to birational geometry (including joint work in progress with Ma, Patakfalvi, Schwede, Tucker, Waldron and Witaszek); the key input now comes from p-adic Hodge theory.