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SUMMARY:Aaron Wootton (Univ. of Arizona)
DTSTART:20201208T210000Z
DTEND:20201208T220000Z
DTSTAMP:20260423T024838Z
UID:UAANTS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/10/">
 Non-Abelian simple groups act with almost all signatures</a>\nby Aaron Woo
 tton (Univ. of Arizona) as part of University of Arizona Algebra and Numbe
 r Theory Seminar\n\n\nAbstract\nThe topological data of a finite group $G$
  acting conformally on a compact Riemann  surface is often encoded using a
  tuple of non-negative integers $(h\;m_1\,\\ldots \,m_s)$ called its signa
 ture\, where the $m_i$ are orders of non-trivial elements in the group. Th
 ere are two easily verifiable arithmetic conditions on a tuple which are n
 ecessary for it to be a signature of some group action. We derive necessar
 y and sufficient conditions on a group for the situation where all but fin
 itely many tuples that satisfy these arithmetic conditions actually occur 
 as the signature for an action of $G$ on some Riemann surface. As a conseq
 uence\, we show that all non-abelian finite simple groups exhibit this pro
 perty.\n
LOCATION:https://researchseminars.org/talk/UAANTS/10/
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