Time: 9h00, 26/3/2014
Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: 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.