Vincent Pecastaing

University of Luxembourg
Mathematics Research Unit
6, avenue de la Fonte
L-4364 Esch-sur-Alzette, Luxembourg

Email 1 : first name dot last name at uni.lu (current)
Email 2 : first name dot last name at normalesup.org (permanent)
Office : E06 0615-410
Phone : (+352) 46 66 44 5396
CV : Curriculum Vitae as of January 2019
In English En francais










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Welcome to my personal homepage

Since January 2017, I am postdoc in the Research Team of Jean-Marc Schlenker. Prior to this, I was visiting University of Maryland during Fall 2016- with GEAR funds - where I was working with Karin Melnick. I have also been hosted in the Mathematics Department of Humböldt University of Berlin during one semester in 2015-2016, in the research group of Helga Baum.

Jointly with Miguel Acosta and Alan McLeay, I organize the Geometry and Topology seminar of the mathematics department.

Research interests

Here is a recent research statement (January 2019)..

Publications/Preprints

Recent preprints

Comments are welcome!
  1. (with Karin Melnick) The conformal group of a compact simply-connected Lorentzian manifold
    Preprint arXiv:1911.06251.
  2. Projective and conformal closed manifolds with a higher-rank lattice action
    Preprint arXiv:1910.06199.

Published or accepted articles

  1. Conformal actions of higher-rank lattices on pseudo-Riemannian manifolds
    Geometric And Functional Analysis (accepted 2020).
  2. Conformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian manifolds.
    Transformation Groups, 24(2019), no. 4, pp. 1213-1239.
  3. Lorentzian manifolds with a conformal action of SL(2,R),
    Commentarii Mathematici Helvetici 93(2018), no. 2, pp. 401-439.
  4. Essential conformal actions of PSL(2,R) on real-analytic compact Lorentz manifolds.
    Geometriae Dedicata 188(2017), no. 1, pp. 171-194.
  5. On two theorems about local automorphisms of geometric structures.
    Annales de l'Institut Fourier, 66(2016), no. 1, pp. 175-208.

Other preprints

  1. Semi-simple Lie groups acting conformally on compact Lorentz manifolds.
    Finalized in June 2015, this preprint is extracted from my thesis and improves some of the results. Its main result is now incorporated in the paper "Conformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian manifolds".

Thesis

Here is the manuscript of my thesis (in French). It had been prepared in the Mathematics department of Université Paris-Sud (Orsay), under the supervision of Charles Frances, who is now in Strasbourg.

Recent and upcoming talks


Webpage created in 2014
Last modification : February 20, 2020
Vincent Pecastaing