|
SEMINARS |
Joint Mathematical seminar of Saint Petersburg State University and Peking University
|
|||
|
Coherent sheaves, superconnection, and the Riemann-Roch-Grothendieck formula Shu Shen Institut de Mathématiques de Jussieu-Paris Rive Gauche, Paris |
|||
Abstract: In 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. Language: English |