Tue, October 22, 2024
1:50 pm - 2:50 pm
JR0274
Ishan Banerjee
The Ohio State University
Title
Monodromy and vanishing cycles for curves in an algebraic surface
Abstract
This talk will be about the monodromy group associated to a family of algebraic curves in an algebraic surface as a subgroup of the mapping class group. I will start by surveying some older results in this area about the image of monodromy in the symplectic group. I will then discuss joint work with Nick Salter, where we describe the precise image of monodromy in the mapping class group in the special case of complete intersections.