Hilbert's thirteenth problem and the moduli space of abelian varieties

11 juin 2018, 16:00
1h
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

Centre de Conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

M. Kisin (Harvard)

Description

The (multi-valued) solution of a general polynomial of degree n is a priori a function of n-1 variables. Hilbert's thirteenth problem and its variants ask when such functions can be written as a composite of functions in a smaller number of variables. I will explain some progress on this question which uses the geometry of A_g. This is joint work with Benson Farb and Jesse Wolfson.

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