Combinatorial mutations and birational maps

Abstract:

A combinatorial mutation is a continuous, piecewise-linear, volume-preserving operation on rational polytopes. In this talk, we will present several examples of pairs of polytopes whose Ehrhart equivalence can be proven by constructing combinatorial mutations between them, most notably the chain polytopes of rectangular and trapezoidal posets. We will also show how these constructions can be viewed as tropicalizations of birational maps from dynamical algebraic combinatorics. This is based on joint work with Joseph Johnson.

Note: This talk begins with a pre-seminar (aimed at graduate students) at 4:00–4:30. The main talk starts at 4:40.

Join Zoom Meeting: https://washington.zoom.us/j/91547335974
Meeting ID: 915 4733 5974