Time: 9:00 -- 10: 00, December 25, 2024

Venue: Room 612, A6, Institute of Mathematics-VAST

Abstract: In various areas of mathematics, including algebra and discrete geometry, one frequently encounters chains of objects (e.g. ideals, cones, monoids, lattices) of increasing dimensions that are invariant under the action of symmetric groups. A central problem is to study finiteness and asymptotic properties up to symmetry of such chains. In this talk, I will discuss some recent developments in the study of this problem.