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Logic seminarExport this event to calendar

Wednesday, October 15, 2014 — 3:30 PM EDT

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

“A model theory for meromorphic dynamics?”

A rational dynamical system is a pair (X,f) where X is a projective algebraic variety and f is a dominant rational map from X to itself. A meromorphic dynamical system is the generalisation where X is a compact complex manifold and f is a dominant meromorphic self map. The first order theory relevant to the former is the theory ACFA of difference-closed fields; indeed work in this area by Medvedev-Scanlon and Chatzidakis-Hrushovski has lead to significant applications to rational dynamics. This talk is about developing a model theoretic context in which to study the latter: the first order theory CCMA of compact complex manifolds with a generic automorphism. This is work-in-progress with Martin Bays and Martin Hils. The talk will focus on explaining the connection between rational/meromorphic dynamics and model theory. 

Location 
MC - Mathematics & Computer Building
5046
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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