Toulouse Mathematics Institute
Paul Sabatier University
118, route de Narbonne
F-31062 Toulouse Cedex 9
France
Email: manivel@math.cnrs.fr
Research interests
Complex algebraic geometry
Homogeneous spaces and
representations of algebraic groups
Quantum cohomology
and derived categories
Geometric Complexity
Jean-Pierre Demailly (1957-2022)
Photo: Holly CHEN 2019
News
The FanoHK project (From Fano manifolds to HyperKähler varieties), funded by the ANR, started in April 2021 and will last five years.Last meeting in Paris, February 7-9, 2024.
Preprints
-
Even nodal surfaces of K3 type
with M. Bernardara, E. Fatighenti, G. Kapustka, M. Kapustka, G. Mongardi and F. Tanturri
30 pages, arXiv:2402.08528.
-
Hecke cycles on moduli of vector bundles and orbital degeneracy loci
with V. Benedetti, M. Bolognesi, D. Faenzi, 21 pages, arXiv:2310.06482.
-
Equivariant spaces of matrices of constant rank
with J.M. Landsberg, 26 pages, arXiv:2212.04228, to appear in PAMQ.
-
A birational involution
with P. Beri, 43 pages, arXiv:2211.12866.
-
Discriminants of theta-representations
with V. Benedetti, 20 pages, arXiv:2204.02020, to appear in Annali SNS di Pisa.
-
Fano fourfolds of K3 type
with M. Bernardara, E. Fatighenti and F. Tanturri, 66 pages, arXiv:2111.13030.
-
Proof of a conjecture of Sturmfels, Timme and Zwiernik
9 pages, arXiv:2108.11085.
Recent publications
-
On the automorphisms of hyperplane sections of generalized Grassmannians
with V. Benedetti, Transformation Groups 29 (2024), 1115-1159.
-
Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming
with M. Michalek, L. Monin, T. Seynnaeve, M. Vodicka, JEMS 26 (2024), 3091–3135.
-
The Coble quadric
with V. Benedetti, M. Bolognesi, D. Faenzi, Forum Math. Sigma 12 (2024), Paper e63, 25 pages.
-
A four dimensional cousin of the Segre cubic
Rev. Mat. Iberoamericana 40 (2024), 1089-1114.
-
Matrices of linear forms of constant rank from vector bundles on projective spaces
with R.M. Miro-Roig, Adv. Math. 436 (2024), Paper No. 109408, 42 pages.
-
Four-Dimensional Lie algebras revisited
with B. Sturmfels and S. Sverrisdóttir, J. Lie Theory 33 (2023), 703-712.
On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws
with J. Ferapontov, Manuscripta Math 172 (2023), 599–620.
-
Horospherical two-orbits varieties as zero loci
with B. Pasquier, Proc. Amer. Math. Soc. 151 (2023), 3347-3363.