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