Speaker: Sergei Starchenko
University of Notre Dame
Will give a Colloquium entitled:
A version of Elekes-Szabo Theorem for compact real analytic sets
Abstract: In this talk I present a generalization of the Elekes-Szabo theorem to sets definable in o-minimal structures, in particular to compact analytic sets. In dimension 3 we obtain: A compact analytic surface has maximal possible size of intersections with finite grids if and only if in some locality it is in coordinate-wise bijection with a plane. (A coordinate-wise transformation is a map F: R3 --> R3 of the form F(x,y,z) = (f(x),g(y),h(z)).)
Date: 04-03-2024
Time: 4:00 pm
Location: 129 Hayes Healy
Zoom URL: notredame.zoom.us/j/