Anne Moreau - Webpage

Anne Moreau

Version française

Professor
Responsible of the IRN Representation Theory.
Member the ANR project ANR GeoLie (2015-2021).
Member of GDR TLAG and du GDR GAGC (Scientific comittee).

Address:
   Laboratoire de Mathématiques d'Orsay
   CNRS U.M.R. 8628
   Bâtiment 307 Faculté des Sciences d'Orsay Université Paris-Saclay 91405 Orsay Cedex
   FRANCE
E-mail : anne.moreau[at]universite-paris-saclay.fr

Last update: October 5th, 2022.

Short CV

Research courses

Spring 2022: Thematic Program on Vertex and Chiral Algebras, Arc scpaces and vertex algebras, Rio de Janeiro, April, 2022.
11th swiss-french workshop in Algebraic Geometry, Introduction to motivic integration, applications to birational geometry, Charmey, January, 2022.
Motivic integrals over spherical varieties, Arc scheme and algebraic group actions, Paris, 2-4 December 2019.
Vertex algebras and associated varieties, Winter school in Mathematical Physics, Les Diablerets (Suisse), 7-11 Janvier 2019.
Lecture notes. Exercices.
Vertex algebras and associated schemes, summer school Current Topics in the Theory of Algebraic Groups, Dijon, July 2017.
Lecture on W-algebras (with Tomoyuki Arakawa), Melbourne, November 28 - December 2, 2016 (preliminary version).
Nilpotent orbits and finite W-algebras, Kent university (Canterbury), July 2014.
Lecture notes (updated: August, 2016).
Motivic integration - Applications to jet schemes of the nilpotent cone of a reductive Lie algebra,
April 2008, ETH Zürich, and October 2010, University of Geneva.
(A more recent text can be found in the appendix of my HDR.)

Publications and preprints

(see also my papers on arXiv: link)

(with Dimitri Markushevich) Action of the automorphism group on the Jacobian of Klein's quartic curve II: Invariant theta-functions, arXiv:2208.08737 [math.AG].
(with Dimitri Markushevich) Action of the automorphism group on the Jacobian of Klein's quartic curve, to appear in Birational Geometry, Kähler-Einstein Metrics and Degenerations, Springer Proceedings in Mathematics & Statistics, 2022.
(with Tomoyuki Arakawa et Jethro Van Ekeren) On the nilpotent orbits arising from admissible affine vertex algebras, Proc. Lond. Math. Soc., published online.
(with Tomoyuki Arakawa et Jethro Van Ekeren) Singularities of nilpotent Slodowy slices and collapsing levels of W-algebras, arXiv:2102.13462 [math.RT].
(with Tomoyuki Arakawa et Cuipo Jiang) Simplicity of vacuum modules and associated varieties, Journal de l'École Polytechnique 8 (2021), 169-191.
(with Nilamsari Kusumastuti), Kostant principal filtration and paths in weight lattices, arXiv:2001.06091 [math.RT].
Singularity of nilpotent Slodowy slices and collapsing levels for W-algebras, Oberwolfach reports (2018), workshop Enveloping Algebras and Geometric Representation Theory.
(with Tomoyuki Arakawa), Arc spaces and chiral symplectic cores, arXiv:1802.06533 [math.RT], to appear in the special issue of Publ. Res. Inst. Math. in honor of Professor Masaki Kashiwara's 70th birthday.
(with Victor Batyrev), Satellites of spherical subgroups, Algebraic Geometry journal, 7 (2020), no. 1, 86-112.
A remark on Mishchenko-Fomenko algebras and regular sequences, Selecta Math, 24 (2018), no. 3, 2651-2657.
(with Tomoyuki Arakawa), On the irreducibility of associated varieties of W-algebras, Journal of Algebra, 500 (2018), 542-568, special issue in Honor of Efim Zelmanov.
(with Jean-Yves Charbonnel), The symmetric invariants of the centralizers and Slodowy grading II, Algebras and Representation Theory, 20(6) (2017), 1341-1363.
(with Tomoyuki Arakawa), Sheet and associated varieties of affine vertex algebras, Adv. Math, 320 (2017), 157-209, errata.
(with Tomoyuki Arakawa), Joseph ideals and lisse minimal W-algebras, J. of Inst. Math. Jussieu, 17 (2018), no. 2, 397-417.
(with Rupert W.T.Yu), Jet schemes of nilpotent orbit closures, Pacific J. of Mathematics 281 (2016), no. 1, 137-183.
(with Jean-Yves Charbonnel), The symmetric invariants of the centralizers and Slodowy grading Math. Zeitschrift 282 (2016), no. 1-2, 273-339.
The symmetric invariants of the centralizers and Slodowy grading, Persepective in Lie Theory (2014-2015), Pisa, INdAM series of Springer-Verlag.
The symmetric invariants of the centralizers and finite W-algebras, Prospects of Combinatorial Representation Theory (2014), RIMS Kôkyûroku series.
(with Victor Batyrev), The arc space of horospherical varieties and motivic integration, Compositio Mathematica 149 (2013), no. 8, 1327-1352.
The arc space of horospherical varieties and motivic integration, Oberwolfach reports (2012), workshop Enveloping Algebras and Geometric Representation Theory.
(with Anton Alekseev), On the Kostant conjecture for Clifford algebras, CRAS, 350 (2012), 13-18.
(with Oksana Yakimova), Coadjoint orbits of reductive type of seaweed Lie algebras, IMRN, 19 (2012), 4475-4519.
(with Karin Baur), Quasi-reductive (bi)parabolic subalgebras of reductive Lie algebras, Ann. de l'Institut Fourier, 61 (2011), no. 2, 417-451.
(with Jean-Yves Charbonnel), The index of centralizers of elements of reductive Lie algebras, Doc. Math., 15 (2010), 387-421.
The index of centralizers of elements of reductive Lie algebras, Oberwolfach reports (2009), workshop Enveloping Algebras and Geometric Representation Theory.
(with Jean-Yves Charbonnel), Nilpotent bicone and characteristic submodule in a reductive Lie algebra, Transform. Groups, 14 (2009), no. 2, 319-360.
On the dimension of the sheets of a reductive Lie algebra, J. of Lie Theory, 18 (2008), no. 3, 671-696 (et un erratum, J. of Lie Theory, 1075-1083).
Indice et décomposition de Cartan, J. of Alegbra, 303 (2006), no. 1, 382-406.
Indice du normalisateur du centralisateur d'un élément nilpotent, Bull. de la SMF, 134 (2006), no. 1, 83-117.