Infinite Dimensional Algebra Seminar
Friday, December 07, 2018 at 3:00pm to 5:00pm
2-136
John Duncan (Emory)
Finite Simple Groups in Geometry and Arithmetic
Monstrous moonshine motivated new methods in algebra at the end of the previous century. More recent observations relating finite groups to modular forms have suggested new approaches to enumerative and arithmetic geometry. I will present two cases of this. Specifically, in the first part
of the talk I will explain a vertex algebraic construction that
conjecturally relates the Conway group to the enumerative geometry of K3 surfaces. In the second part of the talk I will explain some connections between finite simple groups and the arithmetic of modular abelian varieties.
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