Mathematisches Institut der Universität Bonn

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