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SUMMARY:Eloise Hamilton (University of Oxford)
DTSTART:20201209T141500Z
DTEND:20201209T151500Z
DTSTAMP:20260423T040227Z
UID:EDGE2020/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EDGE2020/9/"
 >Cohomology of GIT quotients\, reductive and non-reductive</a>\nby Eloise 
 Hamilton (University of Oxford) as part of EDGE 2020 (online)\n\n\nAbstrac
 t\nGeometric Invariant Theory (GIT) is a powerful tool not only for constr
 ucting quotients in algebraic geometry\, but also for studying the geometr
 y of these quotients. The aim of this talk is to explain how to calculate 
 the (rational) cohomology of quotients constructed on the one hand using c
 lassical GIT\, and on the other using a recent generalisation of GIT\, cal
 led Non-Reductive GIT. As its name suggests\, Non-Reductive GIT enables th
 e construction of quotients by a certain class of non-reductive group acti
 ons. After reviewing existing methods for computing the Poincare series of
  classical GIT quotients when the initial variety is smooth\, we will show
  how similar methods can be used to compute the Poincare series of non-red
 uctive GIT quotients.\n
LOCATION:https://researchseminars.org/talk/EDGE2020/9/
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