BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maki Nakasuji (Sophia University\, Japan) DTSTART:20210324T110000Z DTEND:20210324T120000Z DTSTAMP:20260423T021424Z UID:hnts/28 DESCRIPTION:Title: Sc hur multiple zeta functions and their properties\nby Maki Nakasuji (So phia University\, Japan) as part of Heilbronn number theory seminar\n\n\nA bstract\n**NOTE THE UNUSUAL TIME**\n\nMultiple zeta functions have been st udied at least since Euler\, who found many of their algebraic properties. In particular\, they are greatly developed since the 1980s in several dif ferent contexts such as modular forms\, mixed Tate motives\, quantum group s\, moduli spaces of vector bundles\, scattering amplitudes\, etc.\n\nIn t his talk\, we introduce a generalization of the Euler-Zagier type multiple zeta and zeta-star functions\, that we call Schur multiple zeta functions . These functions are defined as sums over combinatorial objects called se mi-standard Young tableaux. We will show the determinant formulas for Schu r multiple zeta functions\, which lead to quite non-trivial algebraic rela tions among multiple zeta and zeta-star functions. This is based on joint work with O. Phuksuwan and Y. Yamasaki. And we will also show relations am ong Schur multiple zeta functions and zeta-functions of root systems attac hed to semisimple Lie algebras\, which is a joint work with K. Matsumoto. Further\, if time permits we will introduce Schur type poly-Bernoulli numb ers and investigate their properties.\n LOCATION:https://researchseminars.org/talk/hnts/28/ END:VEVENT END:VCALENDAR