PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov, Flossie Dunlop.

Title:Some polynomial dynamics systems
Seminar:MASS Colloquium
Speaker:Alice Medvedev, UC Berkeley
Abstract:
Consider a (discrete) dynamical system F(x, y, z) := ( f(x), g(y), h(z) ) for polynomials f, g, and h, acting on the three-dimensional space over complex numbers. What subsets S are invariant under F, in the sense that F(S) is a subset of S? In particular, what algebraic sets, that is solution sets of systems of polynomial equations, are invariant under F? I will describe the tools from modern model theory, a branch of mathematical logic, that reduce this question to understanding composition of one-variable polynomials, and an old theorem of Ritt that supplies this understanding.

Room Reservation Information

Room Number:MB113
Date:11 / 01 / 2012
Time:02:30pm - 03:30pm