Zero-sum sequences in algebraic combinatorics
Organizers
Speaker
Hanbin Zhang
Time
Wednesday, February 26, 2025 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
Let G be an additive finite abelian group. A sequence S (with elements from G) is called a zero-sum sequence over G, if the sum of all elements of S is the identity of G. Besides its importance in additive number theory (due to classical works of Erdos-Ginzburg-Ziv, Davenport, Olson, Alon, et al.), the studies of zero-sum sequences arose naturally in many topics in algebraic combinatorics: group permanent, invariant theory, cyclic sieving phenomenon, coding theory, et al. In this talk, we will present our recent progress on these topics.