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SUMMARY:Daniel Halpern-Leistner (Cornell)
DTSTART:20240524T213000Z
DTEND:20240524T223000Z
DTSTAMP:20260406T161923Z
UID:agstanford/146
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 46/">Infinite dimensional geometric invariant theory and gauged Gromov-Wit
 ten theory</a>\nby Daniel Halpern-Leistner (Cornell) as part of Stanford a
 lgebraic geometry seminar\n\nLecture held in 380-X (unusual room!).\n\nAbs
 tract\nHarder-Narasimhan (HN) theory gives a structure theorem for princip
 al G bundles on a smooth projective curve. A bundle is either semistable\,
  or it admits a canonical filtration whose associated graded bundle is sem
 istable in a graded sense. After reviewing recent advances in extending HN
  theory to arbitrary algebraic stacks\, I will discuss work with Andres Fe
 rnandez Herrero applying this general machinery to the stack of maps from 
 a curve C to a quotient stack X/G\, where G is a reductive group and X is 
 an affine G-scheme. Our main immediate application is to compute generatin
 g functions for K-theoretic gauged Gromov-Witten invariants. The method we
  develop to analyze this moduli problem is an infinite dimensional analog 
 of geometric invariant theory\, which is potentially applicable to a much 
 broader range of moduli problems.\n
LOCATION:https://researchseminars.org/talk/agstanford/146/
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