Paul Seidel (mathematician)

Paul Seidel (2009)

Paul Seidel (* 1970 in Florence ) is an Italian-Swiss mathematician who primarily deals with symplectic geometry and symplectic topology.

Seidel studied at the University of Heidelberg with Albrecht Dold and after graduating in 1994 from the University of Oxford with John Roe and Simon Donaldson , where he obtained his doctorate in 1998 ( Floer Homology and the symplectic isotopy problem ). He was a guest resident at the Max Planck Institute for Mathematics in Bonn (1998/99), the Institute for Advanced Study (1997/98) and the ETH Zurich (2003). From 1999 to 2001 he was Chargé de Recherche of the CNRS at the École polytechnique in Paris (and at the same time Maitre de Conference there in 2000/2001) and was professor at Imperial College in London from 2002 and at the University of Chicago from 2003 . He has been a professor at the Massachusetts Institute of Technology (MIT) since 2007 .

In his dissertation, Seidel examined when symplectic diffeomorphisms that are diffeotopic to identity are also symplectic diffeotopic to identity. He found obstructions for this in dimension 4 by using the Floer homology ; the investigated counterexamples were generalized stretch-twist mappings on Lagrangian 2-spheres in symplectic 4-manifolds . For the fundamental group of the Hamiltonian symplectomorphisms he found a representation in the quantum cohomology ring . He was able to prove a special case (for K3 surfaces ) of a conjecture by Maxim Konzewitsch about homological mirror symmetry . He developed the techniques for this in a research monograph on the calculation of Fukaya categories of symplectic manifolds using Picard-Lefschetz theory .

In 2000 he received the EMS Prize . In 2002 he was invited speaker at the ICM in Beijing ( Fukaya Categories and Deformations ). In 2010 he received the Oswald Veblen Prize for fundamental contributions to symplectic geometry and especially his development of advanced algebraic methods for calculating symplectic invariants . He is a Fellow of the American Mathematical Society and was elected to the American Academy of Arts and Sciences in 2014.

Fonts

Fukaya Categories and Picard Lefschetz Theory, European Mathematical Society, 2008
${\ displaystyle \ pi _ {1}}$ of symplectic automorphism groups and invertibles in quantum homology rings. Geom. Funct. Anal. 7 (1997), no. 6, 1046-1095.
Graded Lagrangian submanifolds. Bull. Soc. Math. France 128 (2000), no. 1, 103-149.
with Richard Thomas : Braid group actions on derived categories of coherent sheaves. Duke Math. J. 108 (2001), no. 1, 37-108.
A long exact sequence for symplectic Floer cohomology. Topology 42 (2003), no. 5, 1003-1063.
with Kenji Fukaya , Ivan Smith : Exact Lagrangian submanifolds in simply-connected cotangent bundles. Invent. Math. 172 (2008), no. 1, 1-27.
with Mohammed Abouzaid : An open string analogue of Viterbo functoriality. Geom. Topol. 14 (2010), no. 2, 627-718.
Homological mirror symmetry for the genus two curve. J. Algebraic Geom. 20 (2011), no. 4, 727-769.

Web links

Individual evidence

↑ It had previously been proven in other special cases, such as for elliptic curves and Abelian varieties

personal data
SURNAME	Seidel, Paul
BRIEF DESCRIPTION	Italian-Swiss mathematician
DATE OF BIRTH	1970
PLACE OF BIRTH	Florence

[1] It had previously been proven in other special cases, such as for elliptic curves and Abelian varieties