Enumerative applications of non-reductive GIT
Gergely Bérczi (Aarhus University)
Abstract: Polynomial reparametrisation 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 questions: (i) degeneracy loci of holomorphic maps between complex manifolds and Thom polynomials of singularities and (ii) the Green-Griffiths-Land and Kobayashi hyperbolicity conjectures. I will explain why moduli of jets is a link between the two, and how recently developed intersection theory of non-reductive GIT quotients led to the proof of the polynomial Kobayashi conjecture, and resulted in new formulas for Thom polynomials.
algebraic geometry
Audience: researchers in the topic
Series comments: The workshop subject will be EXPLICIT K-STABILITY AND MODULI PROBLEMS. Webpage to follow. Please, do register using the form to get a link to connect. On Monday and Thursday we will have a social (bring your own drink).
| Organizers: | Ivan Cheltsov*, Anne-Sophie Kaloghiros, Jesus Martinez Garcia* |
| *contact for this listing |