Matrices filled by Variables, from Posets to Coxeter Groups, and Beyond

Time：Fri., 10:30-11:30 am, May 30, 2025

Venue：LG1-12, Jian Hua Building (建华楼) Tsinghua University

Organizer：/

Speaker：Prof. Maxim Kontsevich

Speaker：

Prof. Maxim Kontsevich马克西姆·孔采维奇

法国高等科学研究所（IHES）常任教授

1998年菲尔兹奖得主

Time：

Fri., 10:30-11:30 am, May 30, 2025

Venue：LG1-12, Jian Hua Building (建华楼)Tsinghua University

Online：Zoom Meeting ID: 4552601552Passcode: YMSC

Abstract：

In a recent paper "The miracle of integer eigenvalues" arxiv: 2401.05291, we associated with any finite partially ordered set a remarkable matrix depending on parameters. Each matrix element is a variable (which can appear in several places in the matrix) and all eigenvalues are integer linear combinations of variables. I'll explain this result, and also speak about a generalization to convex sets in general reflection groups, and even to the case where there is no group at all.

DATEMay 29, 2025

Related News

0
Kleinian Groups in Several Complex Variables
Abstract Classical Kleinian groups can be defined as being discrete subgroups of automorphisms of the complex projective line P^1; that is, discrete subgroups of the projective group PSL(2,C). This group is isomorphic to the group of orientation preserving isometries of the real hyperbolic 3-space and its generalization to higher dimensional real hyperbolic spaces is a classical subject that ha...
1
From Coxeter-Conway friezes to cluster algebras
SpeakerBernhard Keller is a renowned mathematician. He has made foundational contributions in the theories of differential graded categories, Hochschild cohomology and cluster algebras. He is a fellow of the American Mathematical Society, an ICM speaker in 2006 and has received the Sophie German Prize in 2014.AbstractSince their invention by Fomin-Zelevinsky in 2002, cluster algebras have shown...