Toulouse Mathematics Institute
Paul Sabatier University
118, route de Narbonne
F31062 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
and of the Journal de Mathématiques Pures et Appliquées
JeanPierre Demailly (19572022)
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 four years.Last meeting in Toulouse, May 30th to June 1st, 2022.
On the occasion of J.M. Landsberg's stay in Toulouse on a CIMI Excellence Chair, a workshop on Geometry and Complexity Theory
has been organized in Toulouse, 2529 April 2022.
Preprints

Discriminants of thetarepresentations
with V. Benedetti, 20 pages, arXiv:2204.02020.

Fano fourfolds of K3 type
with M. Bernardara, E. Fatighenti and F. Tanturri, 66 pages, arXiv:2111.13030.

On the automorphisms of hyperplane sections of generalized Grassmannians
with V. Benedetti, 39 pages, arXiv:2110.00255, to appear in Transformation Groupsxs.

Proof of a conjecture of Sturmfels, Timme and Zwiernik
9 pages, arXiv:2108.11085.

Horospherical twoorbits varieties as zero loci
with B. Pasquier, 14 pages, arXiv:2012.05513.

Complete quadrics: Schubert calculus for Gaussian models and semidefinite programming
with M. Michalek, L. Monin, T. Seynnaeve, M. Vodicka, 34 pages, arXiv:2011.08791, to appear in JEMS.

The double Cayley Grassmannian
19 pages, arXiv:2004.00313, to appear in Math. Research Letters.
Recent publications
On the equations defining some Hilbert schemes
with J.D. Hauenstein and B. Szendroi, Vietnam J. Math. 50 (2022), 487500.
On the automorphisms of Mukai varieties
with Th. Dedieu, Math. Z. 300 (2022), 35773621.

Gradings of Lie algebras, magical spin geometries and matrix factorizations
with R. Abuaf, Representation Theory 25 (2021), 527–542.

Nested varieties of K3 type
with M. Bernardara and E. Fatighenti, Journal de l’École polytechnique 8 (2021), 733778.

The geometry of the Coble cubic and orbital degeneracy loci
with V. Benedetti and F. Tanturri, Math. Annalen 379 (2021), 415440.

Orbital degeneracy loci II : Gorenstein orbits
with V. Benedetti, S.A. Filippini, F. Tanturri, IMRN 2020, no. 24, 98879932.

Orbital degeneracy loci and applications
with V. Benedetti, S.A. Filippini, F. Tanturri, Ann. Sc. N. Sup. di Pisa 21 (2020), 169206.
 Topics on the geometry of homogeneous spaces
Acta Math. Sin. 36 (2020), 851872.

The small quantum cohomology of the Cayley Grassmannian
with V. Benedetti, Internat. J. Math. 31 (2020), 2050019, 23 pp.

On Fano complete intersections in rational homogeneous varieties
with Chenyu Bai and Baohua Fu, Math. Z. 295 (2020), 289308.