Người báo cáo: Đào Văn Thịnh
Thời gian: 9h00, thứ 4 ngày 26/03/2014
Địa điểm: Phòng 6 nhà A14 - Viện Toán học, 18 Hoàng Quốc Việt Cầu Giấy, Hà Nội
Tóm tắt: How to generalize the results of complex geometry to the case that our base field is different from the complex field, is very popular and open. One of the classical problems is ”uniformizing”. If we consider Riemann surfaces then the uniformization theorem is completed, and in non-Archimedean complete field case John Tate classified elliptic curves. At the same time, he created the non-Archimedean analytic geometry theory. After John Tate’s works, David Mumford stated and proved the uniformization theorem of stable curves whose genera are higher than 1, and it was a really big step in studying Moduli space of curves. In this talk, I would like to introduce the analytic geometry, formal schemes, how to relate those objects, and the Mumford’s uniformization of stable curves at last. |
