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

and of the Journal de Mathématiques Pures et Appliquées. Send your best papers!

**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 four years.

Last meeting in Strasbourg, January 9-11, 2023.

# Preprints

*Equivariant spaces of matrices of constant rank*

with J.M. Landsberg, 26 pages, arXiv:2212.04228.

*A four dimensional cousin of the Segre cubic*

22 pages, arXiv:2211.16154.

*A birational involution*

with P. Beri, 43 pages, arXiv:2211.12866.

*Four-Dimensional Lie algebras revisited*

with B. Sturmfels and S. Sverrisdóttir, 9 pages, arXiv:2208.14631, to appear in J. Lie Theory.

*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.

*On the automorphisms of hyperplane sections of generalized Grassmannians*

with V. Benedetti, 39 pages, arXiv:2110.00255, to appear in Transformation Groups.

*Proof of a conjecture of Sturmfels, Timme and Zwiernik*

9 pages, arXiv:2108.11085.

*Horospherical two-orbits varieties as zero loci*

with B. Pasquier, 14 pages, arXiv:2012.05513, to appear in Proc. AMS.

*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.

# Recent publications

*On the equations defining some Hilbert schemes*

with J.D. Hauenstein and B. Szendroi, Vietnam J. Math.**50**(2022), 487-500.*On the automorphisms of Mukai varieties*

with Th. Dedieu, Math. Z.**300**(2022), 3577-3621.

*The double Cayley Grassmannian*

Math. Research Letters**28**(2021), 1765-1792.

*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), 733-778.

*The geometry of the Coble cubic and orbital degeneracy loci*

with V. Benedetti and F. Tanturri, Math. Annalen**379**(2021), 415-440.