Laurent Manivel Directeur de Recherches CNRS Institut de Mathématiques de Marseille Technopôle Château-Gombert 39, rue Frédéric Joliot-Curie 13453 MARSEILLE Cedex 13 France E-mail : laurent.manivel@math.cnrs.fr

Research interests: Complex algebraic geometry Homogeneous spaces and representations of algebraic groups Quantum cohomology Derived categories Geometric Complexity Français

Doctorate Students

• Roland Abuaf (2010--2013), Around homological projective duality and non commutative resolutions of singularities. Some crepant categorical resolutions are constructed in Lefschetz decompositions and categorical resolution of singularities II : The wonderful resolutions. Roland won a postdoc position at Imperial College, London, with Richard Thomas.
  

• Mateusz Michalek (2008--2012), Phylogenetic models and toric varieties, codirected with Jarek Wisniewski. Mateusz has a postdoc position at the Max Planck Institute, Bonn.
  

• Clélia Pech (2008--2011), On the quantum cohomology of odd symplectic varieties. Clélia has a postdoc position at King's College, London, with Konstanze Rietsch.
  

• Michaël Le Barbier (2005-2009), Varieties of reductions for reductive algebraic groups, codirected with Nicolas Ressayre.
  

• Ion Mihai (2002-2005), Odd symplectic flag varieties. The results of Ion's thesis are partially published in the paper
  Odd symplectic flag manifolds, Transformation Groups 12, 573-599 (2007).
  

• Pierre-Emmanuel Chaput (2000-2003), Geometry of some algebras and Vanishing theorems. Pierre-Emmanuel is now Full Professor in Nancy.
  

Recent Publications

• Secants of minuscule and cominuscule minimal orbits
  with M. Michalek,
  Linear Algebra Appl. 481 (2015), 288–312.

• On the derived category of the Cayley plane II
  with D. Faenzi,
  Proc. Amer. Math. Soc. 143 (2015), 1057–1074.

• On cubic hypersurfaces of dimension seven and eight
  with A. Iliev,
  Proc. L.M.S. 108 (2014), 517-540.

• Effective constructions in plethysms and Weintraub's conjecture
  with M. Michalek,
  Algebra and Representation Theory 17 (2014), 433-443.

• Prehomogeneous spaces and projective geometry,
  82 pages, Rendiconti del Seminario Matematico, Università e Politecnico di Torino71 (2013).

• Triangulations and Severi varieties
  with F. Chapoton,
  Experimental Mathematics 22 (2013), 60-73.
  

• Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program
  with J.M. Landsberg and N. Ressayre,
  Commentarii Mathematici Helvetici 88 (2013), 469-484
  

• On the period map for prime Fano threefolds of degree ten
  with O. Debarre and A. Iliev,
  Journal of Algebraic Geometry 21 (2012), 21-59.
  

Preprints

• On the variety of four dimensional Lie algebras,
  8 pages, arXiv:1506.02871, to appear in Journal of Lie Theory.

• On the asymptotics of Kronecker coefficients 2
  11 pages, arXiv:1412.1782.

• On the asymptotics of Kronecker coefficients
  21 pages, arXiv:1411.3498.

• Special prime Fano fourfolds of degree 10 and index 2
  with O. Debarre and A. Iliev, 28 pages, arXiv:1302.1398.
  

• Quantum cohomology and the Satake isomorphism
  with V. Golyshev, 25 pages, arXiv:1106.3120, to appear in Advances in Mathematics.
  

• Fano manifolds of Calabi-Yau type
  with A. Iliev, 22 pages, arXiv:1102.3623.
  

• Chern classes of tensor products
  8 pages, arXiv:1012.0014.
  

Recent invited conferences

• Algebraic Geometry and Applications to Physics and Dynamics, Saint Petersburg (Russia), May 2015.
• Combinatorics and complexity of Kronecker coefficients, American Institute of Mathematics, Palo Alto (USA), November 2014.
• Algebraic Geometry boot camp, Simons Institute, Berkeley (USA), September 2014.
• Texas Geometry and Topology Conference, College Station (USA), October 2013.
• Vector bundles days, Pau, April 2013.
• Symposium on Projective Algebraic Varieties and Moduli, Yeosu (South Korea), February 2013.
• Hyperkähler Geometry, Stonybrook (USA), November 2012.
• Projective Geometry and Invariant Theory, Trento (Italy), September 2012.
• Classical Algebraic Geometry, Oberwolfach (Germany), June 2012.
• Derived categories, Dijon, May 2012.
• Holomorphic symplectic varieties and moduli spaces, CIRM Luminy, October 2011.
• Workshop on Complex Geometry, Beijing (China), April 2011.
• Workshop on Geometry of Projective Varieties, KIAS, Seoul (South Korea), April 2011.
• Quantum Motives, MPIM Bonn (Germany), September 2010.
• Algebraic Geometry, ICM Satellite Conference, Hyderabad (India), August 2010.
• Classical Algebraic Geometry, Oberwolfach (Germany), June 2010.
• Complex Algebraic Geometry, CIRM Luminy, January 2010.
• Mathematical Foundations of Quantum Information, Sevilla (Spain), November 2009.
• Holomorphic symplectic varieties and moduli spaces, Lille, June 2009.
• Geometry and Representation Theory of Tensors, AIM, Palo Alto (USA), July 2008.

Organization of conferences

• Geometric Complexity Theory, Simons Institute, Berkeley, September 2014.
• Quantum cohomology and quantum K-theory, Paris, January 2014.
  
• Gromov-Witten meting, Grenoble, October 2012.
• Holomorphic symplectic manifolds and moduli spaces, Grenoble, March 2012.
• Summer School and Conference on Moduli Spaces and Gromov-Witten theory, Grenoble, June-July 2011.