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SUMMARY:Gergely Bérczi (Aarhus University)
DTSTART:20201209T153000Z
DTEND:20201209T163000Z
DTSTAMP:20260423T040329Z
UID:EDGE2020/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EDGE2020/8/"
 >Enumerative applications of non-reductive GIT</a>\nby Gergely Bérczi (Aa
 rhus University) as part of EDGE 2020 (online)\n\n\nAbstract\nPolynomial r
 eparametrisation groups form the symmetries of jets of holomorphic curves 
 in complex manifolds. They play central role in various classical problems
  in geometry. I report on recent work in two\, seemingly unrelated questio
 ns: (i) degeneracy loci of holomorphic maps between complex manifolds and 
 Thom polynomials of singularities and (ii) the Green-Griffiths-Land and Ko
 bayashi hyperbolicity conjectures. I will explain why moduli of jets is a 
 link between the two\, and how recently developed intersection theory of n
 on-reductive GIT quotients led to the proof of the polynomial Kobayashi co
 njecture\, and resulted in new formulas for Thom polynomials.\n
LOCATION:https://researchseminars.org/talk/EDGE2020/8/
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