Time: 9:30 -- 11:00, April 5th 2023.

Venue: 612 A6.

Abstract: Gordan's lemma is a classical and fundamenral result in polyhedral geometry, stating that the lattice points in a rational finitely generated cone form an affine monoid. In this talk, I will present an extension of this result to the infinite dimensional space, in which cones and monoids under consideration are invariant with respect to actions of symmetric groups. If time permits, I will also discuss extensions of theorems of Carathéodory and Minkowski-Weyl to the equivariant setting. The talk is based on joint work with Thomas Kahle and Tim Römer.