Anne Moreau  Webpage
Anne Moreau
Version française
Professor
Responsible of the IRN
Representation Theory.
Member the ANR project ANR GeoLie
(20152021).
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 ParisSaclay
91405 Orsay Cedex
FRANCE
Email :
anne.moreau[at]universiteparissaclay.fr
Last update: October 5th, 2022.
IRN Representation Theory
NEWS
Reading groups
20212022: reading group on symplectic duality (Orsay)
(On Thursday, 4pm, LMO, A03; organisers: Benjamin Hennion, Emanuele Macrì,
Anne Moreau, Olivier Schiffmann).
Member of editorial boards
Research courses
 Spring 2022: Thematic Program on Vertex and Chiral Algebras,
Arc scpaces and vertex algebras, Rio de Janeiro, April, 2022.
 11th swissfrench 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, 24 December 2019.

Vertex algebras and associated varieties,
Winter school in Mathematical Physics, Les Diablerets
(Suisse), 711 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 Walgebras (with Tomoyuki Arakawa),
Melbourne, November 28  December 2, 2016 (preliminary version).
 Nilpotent orbits and finite Walgebras,
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 thetafunctions,
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,
KählerEinstein 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 Walgebras,
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), 169191.
 (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 Walgebras,
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,
86112.

A remark on MishchenkoFomenko algebras and regular sequences,
Selecta Math,
24 (2018), no. 3,
26512657.
 (with Tomoyuki Arakawa), On the irreducibility of associated varieties of Walgebras,
Journal of Algebra,
500 (2018), 542568, special issue in Honor of Efim Zelmanov.
 (with JeanYves Charbonnel),
The symmetric invariants of the centralizers and Slodowy grading II,
Algebras and Representation Theory,
20(6) (2017), 13411363.
 (with Tomoyuki Arakawa),
Sheet and associated varieties of affine vertex algebras, Adv. Math,
320 (2017), 157209,
errata.
 (with Tomoyuki Arakawa),
Joseph ideals and lisse minimal Walgebras,
J. of Inst. Math. Jussieu,
17 (2018), no. 2,
397417.
 (with Rupert W.T.Yu),
Jet schemes of nilpotent orbit closures,
Pacific J. of Mathematics
281
(2016), no. 1, 137183.
 (with JeanYves Charbonnel),
The symmetric invariants of the centralizers and Slodowy grading
Math. Zeitschrift 282
(2016), no. 12, 273339.
 The symmetric invariants of the centralizers and Slodowy grading,
Persepective in Lie Theory (20142015), Pisa, INdAM series of
SpringerVerlag.
 The symmetric invariants of the centralizers and finite Walgebras,
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, 13271352.
 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), 1318.
 (with Oksana Yakimova),
Coadjoint orbits of reductive type of seaweed Lie algebras,
IMRN, 19
(2012), 44754519.
 (with Karin Baur),
Quasireductive (bi)parabolic subalgebras of reductive Lie algebras,
Ann. de l'Institut Fourier,
61
(2011), no. 2, 417451.
 (with JeanYves Charbonnel),
The index of centralizers of elements of reductive Lie algebras,
Doc. Math.,
15 (2010),
387421.
 The index of centralizers of elements of reductive Lie algebras,
Oberwolfach reports (2009),
workshop Enveloping Algebras and Geometric
Representation Theory.
 (with JeanYves Charbonnel),
Nilpotent bicone and characteristic submodule in a reductive Lie algebra,
Transform. Groups,
14
(2009), no. 2, 319360.

On the dimension of the sheets of a reductive Lie algebra,
J. of Lie Theory,
18 (2008), no. 3, 671696 (et un erratum,
J. of Lie Theory, 10751083).
 Indice et décomposition de Cartan,
J. of Alegbra,
303
(2006), no. 1, 382406.
 Indice du normalisateur du centralisateur d'un élément
nilpotent,
Bull. de la SMF,
134 (2006), no. 1, 83117.
Recent teachings (mostly in French!)
Cours M2 (20202021, Orsay): Introduction to vertex algebras.
Videos of the lectures.
NEWS:
preliminary version of the first part of our book Arc spaces and vertex algebras with Tomoyuki Arakawa.
Be advised this is still a draft, it may contain inaccuracies and will be updated in due time.
PhD thesis and Habilitation reports (in French)
HDR ("Habilitation à diriger des recherches")
PhD supervisions
October 2022  October 2025: Damien Simon (Orsay).
January 2022  January 2025: Thibault Juillard (Orsay).
20152019: Nilamsari Kusumastuti
has defended her PhD thesis the 24th of October 2019,
in Poitiers (cosupervizor: Abderrazak Bouaziz).
20102013: Guilnard Sadaka has defended her
thesis the 6th of December 2013, in Poitiers (cosupervizor: Rupert Yu).