The Landau Hamiltonian with delta-potentials supported on curves
By Jussi Behrndt
Spectral asymptotics of the one-particle density matrix for the Coulombic multi-particle systems
By Alexander Sobolev
Appears in collections : Jean-Morlet Chair: Moduli spaces in symplectic topology and in Gauge theory / Chaire Jean-Morlet : Espaces de modules en topologie symplectique et en théorie de Jauge, Exposés de recherche
I will describe joint work with Thomas Kragh proving that closed exact Lagrangians in cotangent bundles are simply homotopy equivalent to the base. The main two ideas are (i) a Floer theoretic model for the Whitehead torsion of the projection from the Lagrangian to the base, and (ii) a large scale deformation of the Lagrangian which allows a computation of this torsion.