Working Seminar: Punctual Hilbert Schemes


Organized by Olaf Schnürer, Catharina Stroppel, Maurizio Martino.

We will follow Nakajima's book: Lectures on Hilbert Schemes of Points on Surfaces.

Location:
Mondays, 14.15-16.00
Kleiner Hörsaal
Wegelerstr. 10


Talks
  • 20. October 2008, Olaf Schnürer: Hilbert Schemes of Points in the Plane, Construction.
  • 27. October 2008, Maurizio Martino: Hilbert Schemes of Points in the Plane, First Properties.
  • 3. November 2008, Olaf Schnürer: Hilbert Schemes and the n! Theorem.
  • 10. November 2008, Martin Hamilton: GIT quotient interpretation.
  • 17. November 2008, Anthony Licata: Moduli space interpretation (via torsion free sheaves).
  • 24. November 2008, no working seminar, but a talk by Merkulov.
  • 1. December 2008, Adam-Christiaan van Roosmalen: Hyper Kähler metric.
  • 8. December 2008, Gwyn Bellamy: Resolution of simple singularities.
  • 15. December 2008, Evgeny Smirnov: Poincaré polynomials.

  • Sorry, the remaining talks are canceled.



    • Some references:
  • Jose Bertin, The punctual Hilbert scheme: an introduction
  • Geir Ellingsrud and Lothar Goettsche, Hilbert schemes of points and Heisenberg algebras
  • Mark Haiman, t,q-Catalan numbers and the Hilbert scheme
  • Mark Haiman, Notes on Macdonald polynomials and the geometry of Hilbert schemes
  • A. D. King, Moduli of representations of finite-dimensional algebras
  • Manfred Lehn, Lectures on Hilbert schemes
  • Hiraku Nakajima, Lectures on Hilbert schemes of points on surfaces
  • Hiraku Nakajima's Homepage, several lecture notes
    • Last modified: Fri Jan 30 09:38:20 CET 2009