Zero-Sum Sequences in Algebraic Combinatorics

Explore the mathematical concept of zero-sum sequences in finite abelian groups through this research seminar talk delivered by Hanbin Zhang from Sun Yat-sen University's School of Mathematics. Delve into how zero-sum sequences, where the sum of all elements equals the group's identity, emerge naturally across multiple areas of algebraic combinatorics including group permanent, invariant theory, cyclic sieving phenomenon, and coding theory. Learn about recent developments building upon foundational work by mathematicians like Erdos-Ginzburg-Ziv, Davenport, Olson, and Alon. The presentation, part of the BIMSA-Tsinghua Quantum Symmetry Seminar series, examines new research progress in understanding these sequences and their wide-ranging applications in modern mathematics.