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Monodromy and vanishing cycles for curves in a simply connected surface.
Ishan Banerjee (The Ohio State University, USA)
I will describe some joint work with Nick Salter in understanding the monodromy group associated to a complete linear system of curves in some smooth projective surface X. We prove that if X is simply connected and the linear system is sufficiently ample, then the monodromy group is of finite index in the mapping class group.
I will try to be fairly concrete throughout the talk, in particular I will define the terms 'monodromy' and 'mapping class group'. I will also mostly focus on the concrete case of plane curves throughout the talk.
Date: Friday (14th August 2026)
Time: 11:45 am
Venue: LHC 110