Deepam Patel (Purdue)

Tuesday, October 10, 2023 - 2:30pm

PDL C-38

Main talk (2:30pm)

**Title**: Local monodromy of constructible sheaves

**Abstract:**Let X be a complex algebraic variety, and X-->D a proper morphism to a small disk which is smooth away from the origin. In this setting, the higher direct images of the constant sheaf form a local system on the punctured disk, and the Local Monodromy Theorem (due to Brieskorn-Grothendieck-

This is based on joint work with Madhav Nori.

Pre-talk (1:45pm)

**Title**: What is monodromy?

**Abstract**: I’ll try to explain how the study of solutions to differential equations leads naturally to the notion of mondromy of local systems. If there’s time we’ll look at the classical example of a degeneration of elliptic curves.