Students

Tanja Becker (Deutsche Bahn) – together with Manfred Lehn

Defense : Octobre 12, 2011 on the moduli spaces of (G,h)-constellations

• Moduli spaces of (G,h)-constellations (avec Ronan Terpereau)
  Transform. Groups 20 (2015), no. 2, pp. 335-366.

• An example of an SL(2)-Hilbert scheme with multiplicities
  Transform. Groups 16 (2011), no. 4, pp. 915-938.

• On the Existence of Symplectic Resolutions of Symplectic Reductions
  Math. Zeitschrift 265 (2010), no. 2, pp. 343–363

Arvid Perego (Professore associato, Università di Genova)

Defense : Octobre 27, 2008 on theorem of Gabriel for twisted coherent sheaves and the Picard group and 2-factoriality of O’Grady’s examples of irreducible holomorphically symplectic manifolds.

• The 2-Factoriality of the O’Grady Moduli Spaces
  Math. Annalen 346 (2010), no. 2, 367–391.
• A Gabriel Theorem for Coherent Twisted Sheaves
  Math. Zeitschrift 262 (2009) 571-583

Sébastien Garino (Professeur en classes préparatoires)

Defense : June 25, 2007 on the cohomology ring of crepant resolution of some quotient singularities.

Samuel Boissière (Professeur à l’Université de Poitiers)

Defense : September 27, 2004 on the McKay correspondence for the Hilbert scheme of points on the affine plane.

• On the McKay correspondences for the Hilbert scheme of points on the affine plane
  Math. Annalen 334 (2006), 419-438

• Chern classes of tangent bundle on the Hilbert scheme of points on the affine plane
  J. Algebraic Geom. 14 (2005), 761-787

• Towards the multiplicative behavior of the K-theoretical McKay correspondence
  Math. Zeitschrift 252 (2006), 533-5

Francesca Gavioli

Defense : February 10, 2003 on thêta-functions on the stack of parabolic bundles on a curve.

• Theta functions on the moduli of parabolic bundles
  Int. Journal of Maths Vol. 15, No. 3 (2004) 259-287

Mon directeur de thèse

I made my PhD under the supervision of Joseph Le Potier. I started in September 1989 then defended my PhD in December 1991.

The following article is published out of my it:

• Thêta-caractéristiques des courbes tracées sur une surface lisse
  J. Reine Angew. Math. (Crelle) 435, 83-118 (1993)

Joseph Le Potier left us far too early on December 8, 2005, one year after the conference:

• Algebraic Geometry, a conference in honour of Joseph Le Potier & Christian Peskine, Paris, June 15-19, 2004

We organized a special seminar to his memory on Thursday December 7, 2006 in Chevalaret. The lectures were published by the Gazette:

• Joseph Le Potier (10 octobre 1944 - 8 décembre 2005) par Christian Peskine

• Autour du théorème d’annulation de Le Potier par Claire Voisin

• Fibrés vectoriels sur le plan projectif (d’après J. Le Potier) par Christoph Sorger

• Dualité étrange et cohomologie du schéma de Hilbert par Luca Scala

Frédéric Han set up a website with some of his lectures:

• Quelques polycopiés d’enseignement et de recherche de Joseph Le Potier