Seminar Event Detail


Topology

Date:  Thursday, March 17, 2022
Location:  https://umich.zoom.us/j/97288641488 Virtual (3:00 PM to 4:00 PM)

Title:  Bi-algebraic geometry of strata of abelian differentials

Abstract:   An abelian differential is a pair consisting of a smooth projective curve of genus g together with a non-zero algebraic 1-form. A stratum of abelian differentials is an algebraic orbifold that parametrizes abelian differentials such that the zeros of the 1-form have certain fixed multiplicities. In this talk, I will discuss the transcendence of the relative periods of abelian differentials, together with a characterization of the "least" transcendental ones and their distribution inside a stratum. On the geometric side, I will discuss the algebraic relations satisfied by the periods of an abelian differential when it varies inside an algebraic subvariety of a stratum. This is joint work with B. Klingler.

Files:


Speaker:  Leonardo Lerer
Institution:  Weizmann Institute

Event Organizer:   Alex Wright   

 

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