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SUMMARY:Localization theorem for algebraic stacks - Charanya Ravi (Max Pla
 nck Institute for Mathematics)
DTSTART:20220628T150000Z
DTEND:20220628T160000Z
UID:TALK176219@talks.cam.ac.uk
DESCRIPTION:The classical Atiyah-Bott localization theorem relates the equ
 ivariant cohomology of a space X with the action of a torus T with the coh
 omology of its fixed locus after inverting finitely many elements in the c
 ohomology of BT. This theorem finds applications in enumerative geometry w
 hen the parameter space has a natural torus action. The need to access mor
 e general parameter spaces (singular and stacky) and the need for refined 
 counts (in other cohomology theories) motivates the need for a more genera
 l localization theorem. \nIn this talk\, based on a joint work in progress
  with Dhyan Aranha\, Adeel Khan\, Alexei Latyntsev and Hyeonjun Park\, we 
 will discuss such a unified Atiyah-Bott localization theorem for equivaria
 nt cohomology theories of possibly singular algebraic stacks with an actio
 n of a linear algebraic group.
LOCATION:Seminar Room 2\, Newton Institute
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