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SUMMARY:Brendon Rhoades (University of California\, San Diego)
DTSTART:20261023T213000Z
DTEND:20261023T223000Z
DTSTAMP:20261023T115347Z
UID:MAAGC2026/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAAGC2026/2/
 ">Coinvariants\, hyperplanes\, and superspace</a>\nby Brendon Rhoades (Uni
 versity of California\, San Diego) as part of MAAGC 2026\n\nLecture held i
 n Temple 1169.\n\nAbstract\nLet V be a finite-dimension vector space. The 
 superspace ring associated to V is the tensor product \\Omega of the ring 
 S of polynomial functions on V with the exterior algebra E over V. If G is
  any subgroup of GL(V)\, there is a natural bigraded action of G on \\Omeg
 a\, and the superspace coinvariant ring SR_G is obtained by quotienting \\
 Omega by the ideal generated by G-invariants with vanishing constant term.
  We study the structure of SR_G when G is a complex reflection group and V
  is its reflection representation with a special focus on type A. The theo
 ry of hyperplane arrangements plays an important role. Joint with Robert A
 narone\, Sutanay Bhattacharya\, Patty Commins\, Trevor Karn\, Satoshi Mura
 i\, and Andy Wilson.\n
LOCATION:https://researchseminars.org/talk/MAAGC2026/2/
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