GT Seminar with Nick Kuhn (University of Oslo)

  • Date: –14:15
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 room Å64119 and on zoom
  • Lecturer: Nick Kuhn (University of Oslo)
  • Organiser: Matematiska institutionen
  • Contact person: Noémie Legout
  • Seminarium

Welcome to this Geometry and Topology seminar held by Nick Kuhn with title "Degenerations of stable sheaves on fibered surfaces".

Abstract: In the paper "Floer homology and algebraic geometry", Donaldson raised the question of constructing an algebraic theory for moduli spaces of vector bundles on algebraic surfaces which are singular along a nodal divisor. A succesful candidate for such a theory would enable one to compute sheaf-theoretic invariants of a smoothing of the singular surface in terms of relative invariants of its normalization, similar to the degeneration formulas in Gromov-Witten or Donaldson-Thomas theory. 

I will present work in progress on a good theory of sheaves on degenerations that works when the surface degenerates together with a fibration to a curve. This opens the door for many interesting computations - for example, one can recover and strengthen results about the geometry of moduli spaces on elliptic surfaces.


See upcoming seminars in our seminar series on Geometry and Topology (GT).

Last modified: 2022-09-27