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

来源: 05-29

威尼斯人娱乐场
威尼斯人娱乐场
威尼斯人娱乐场
威尼斯人娱乐场

时间:Fri., 10:30-11:30 am, May 30, 2025

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

组织者:/

主讲人: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.

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