Séminaires : Séminaire d'Analyse et Géométrie

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

Orateur(s) Shu Shen - IMJ-PRG,
Titre Coherent sheaves, superconnection, and the Riemann-Roch- Grothendieck formula
Date09/06/2021
Horaire15:45 à 17:00
Diffusion
RésumeIn this talk, I will explain a construction of Chern character for coherent sheaves on a closed complex manifold with values in Bott-Chern cohomology. I will also show a corresponding Riemann-Roch-Grothendieck formula which holds for general holomorphic maps between closed non-Kahler manifolds. Our proof is based on two fundamental objects : the superconnection and the hypoelliptic deformations. This is a joint work with J.-M. Bismut and Z. Wei. ArXiv:2102.08129.
Salle15–25.502
AdresseJussieu
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