Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, A. Deruelle, E. Di Nezza, I. Itenberg, X. Ma
Email des responsables : {olivier.biquard, alix.deruelle, eleonora.dinezza, ilia.itenberg, xiaonan.ma}@imj-prg.fr
Salle : 15–25.502
Adresse :Jussieu

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Orateur(s) Xianzhe Dai - ,
Titre Witten deformation on non-compact Manifolds
Horaire15:45 à 17:00
RésumeWitten deformation is a deformation of the de Rham complex introduced in an extremely influential paper by Witten. Witten deformation on closed manifolds has found many beautiful applications, among them the work of Bismut-Zhang on the Cheeger-M\"uller Theorem/Ray-Singer Conjecture. Development in mirror symmetry, in particular the Calabi-Yau/Landau-Ginzburg correspondence has highlighted the importance of mathematical study of Landau-Ginzburg models. This leads to a whole range of questions on the Witten deformation on non-compact manifolds. In this talk we will discuss our recent work, joint with Junrong Yan, on the L²-cohomology, the heat asymptotic expansion, the local index theorem, and the Ray-Singer analytic torsion in this setting.