
October 3, 2023
1:50 pm
-
2:50 pm
MW 152
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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
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America/New_York
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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.