Applications of marked partitions to qMZVs
Benjamin Brindle (University of Cologne)
Abstract: In this talk, we introduce the notion of marked partitions and explain some of their relationships to q-analogues of multiple zeta values (qMZVs). Marked partitions are partitions where each row and column of the corresponding Young diagram can be marked with one color. We interpret qMZVs as generating a series of marked partitions. With this concept, we can visualize and prove, for example, the so-called Schlesinger-Zudilin duality. Furthermore, we show that the generating series of the number of conjugacy classes of GL(n,K) for a finite field K is given by the generating series of certain Ohno-Okuda-Zudilin qMZVs.
number theory
Audience: researchers in the topic
Japan Europe Number Theory Exchange Seminar
Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.
Start for Fall 2021: 26th October
Organizers: | Henrik Bachmann*, Nils Matthes |
*contact for this listing |