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SUMMARY:Witten zeta function at negative integers [MPIM]
DTSTART:20250305T133000Z
DTEND:20250305T143000Z
DTSTAMP:20260421T225500Z
UID:indico-event-235@math-events.uni-bonn.de
DESCRIPTION:Speakers: Kam Cheong Au (Universität zu Köln)\n\nNumber theo
 ry lunch seminar\n"The Witten zeta function for a simple Lie algebra $\\ma
 thfrak{g}$ is defined by the Dirichlet series $$\\mathfrak{g}(s) := \\sum_
 {\\rho} \\frac{1}{(\\dim \\rho)^s}\,$$ where $\\rho$ ranges over all irred
 ucible representations of $\\mathfrak{g}$. It has been popularized by Zagi
 er to illustrate its special values at positive even integers.\n\nAlthough
  not as nice as L-functions\, it still satisfies several non-trivial prope
 rties with interesting consequence. In this talk\, we prove a conjecture o
 f Kurokawa and Ochiai which says $\\mathfrak{g}(s)$ vanishes at negative e
 ven integers\, we also mention a connection to some non-trivial identities
  about Riemann zeta values and Eisenstein series."\n\nFor lunch we will ga
 ther at 12:30 at the reception and go to pizzeria Tusculo Muensterblick.\n
 \n\n\nhttps://math-events.uni-bonn.de/event/235/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/235/
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