Người báo cáo: Đỗ Ngọc Diệp
Thời gian: 9h, thứ 6, ngày 9/10/2015
Địa điểm: Phòng 4, Nhà A14, Viện Toán học, 18 Hoàng Quốc Việt, Cầu Giấy Hà Nội
Tóm tắt: The talk is concerning the effectiveness of Functional Analysis methods in Differential Geometry. Positiveness of scalar curvature and Ricci curvature requires vanishing the obstruction $theta(M)$ which is computed in some KK-theory of C*-algebras index as a pairing of spin Dirac operator and Mishchenko-Fomenko bundle associated to the manifold. U. Pennig had proved that the obstruction $theta(M)$ does not vanish if $M$ is an enlargeable closed oriented smooth manifold of even dimension larger than or equals to 3, the universal cover of which admits a spin structure. Using the equivariant cohomology of holonomy groupoids we prove the theorem in the general case without restriction of evenness of dimension. |
