Di, 06.02.2018, 15:15
Multiple harmonic q-series at roots of unity and their connection to finite & symmetrized multiple zeta values
AG-Seminar Algebra

Referent: Dr. Henrik Bachmann (Nagoya University, z. Zt. MPIM Bonn)
Raum: S2|15 Raum 401

In this talk we will discuss multiple harmonic q-series evaluated at roots of unity. These series can also be seen as functions from the rationals to the complex numbers and in the smallest depth, they give simple examples of quantum modular forms. The motivation to study these series comes from a recent results on the connection of finite multiple zeta values (FMZV) and symmetrized multiple zeta values (SMZV). We start by giving a small introduction into theory of multiple zeta values and then discuss their finite analogues, which were recently introduced by Kaneko and Zagier. After this we introduce the notion of finite multiple harmonic q-series at roots of unity and show that these specialize to the FMZV and the SMZV through an algebraic and analytic operation, respectively. This talk is based on a joint work with Y. Takeyama and K. Tasaka.



Fachbereich Mathematik
Technische Universität Darmstadt

Schlossgartenstraße 7
64289 Darmstadt

A A A | Print Drucken | Impressum Impressum | Contact Kontakt
    zum Seitenanfangzum Seitenanfang