Event
Jacob Tsimerman, University of Toronto
Title: Transcendence theorems and Hodge Theory.
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The Ax-Schanuel theorem is a powerful result in functional transcendence which describes 鈥榓ll the algebraic interactions鈥� of the exponential function, and has proven to be a powerful tool in various number theoretic and algebraic settings. We shall describe a vast generalization of this result to the shimura and hodge-theoretic settings, and how one can use model theoretic tools such as o-minimality to attack such transcendental questions. We shall then give applications of these results to arithmetic questions.
These are joint works with B.Bakker, and with N. Mok and J. Pila.
These are joint works with B.Bakker, and with N. Mok and J. Pila.