Người báo cáo: Prof. A.S.Mishchenko, Lomonosov Moscow State University
Thời gian: 9h30, Thứ 6, ngày 15 tháng 1 năm 2016
Địa điểm: Phòng 301, Nhà A5, Viện Toán học, 18 Hoàng Quốc Việt, Cầu Giấy, Hà Nội
Tóm tắt: H.Poincare in his prominent paper "Analysis situs" (1895) represented the first systematic study of topology. Especially he discovered so called Poincare duality that says " the Betti numbers equidistant from the ends are equal".
This fundamental property of closed manifolds has very large generalization up to homotopy invariants of non simply connected manifolds. In my lecture I shall describe the methods of so called noncommutative geometry and toplogy to different contemporary problems of differential topology. |
