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Special Seminar on Hilbert's 13th Problem II

Topology of resolvent problems

In this talk I will describe a topological approach to some problems about algebraic functions due to Klein and Hilbert. As a sample application of these methods, I will explain the solution to the following problem of Felix Klein: Let $\Phi_{g,n}$ be the algebraic function that assigns to a (principally polarized) abelian variety its $n$-torsion points. What is the minimal $d$ such that, after a rational change of variables, $\Phi_{g,n}$ can be written as an algebraic function of $d$ variables? This is joint work with Mark Kisin and Jesse Wolfson.


Benson Farb

Speaker Affiliation

University of Chicago



Event Series

Date & Time
December 06, 2019 | 2:002:55pm


Simonyi Hall 101