Monodromy of algebraic curves in an algebraic surface

Topology Seminar
October 3, 2023
1:50 pm - 2:50 pm
MW 152

Date Range
2023-10-03 13:50:00 2023-10-03 14:50:00 Monodromy of algebraic curves in an algebraic surface Title:  Monodromy of algebraic curves in an algebraic surface Speaker:  Ishan Banerjee (OSU) Abstract:  In this talk I will survey what is known about the monodromy group of all smooth algebraic curves embedded in an algebraic surface X of a fixed divisor class |D|. I will discuss how pi_1X can present obstructions to the monodromy group being finite index in the mapping class group. If time permits, I will discuss how the image of the monodromy group in quotients of the mapping class group by Johnson subgroups are 'as big as possible' assuming that D is sufficiently ample. MW 152 America/New_York public

Title:  Monodromy of algebraic curves in an algebraic surface

Speaker:  Ishan Banerjee (OSU)

Abstract:  In this talk I will survey what is known about the monodromy group of all smooth algebraic curves embedded in an algebraic surface X of a fixed divisor class |D|. I will discuss how pi_1X can present obstructions to the monodromy group being finite index in the mapping class group. If time permits, I will discuss how the image of the monodromy group in quotients of the mapping class group by Johnson subgroups are 'as big as possible' assuming that D is sufficiently ample.

Events Filters: