Lubin-Tate deformation space and fibers of the period map in height 2 case
Time: 2015-11-24
Published By:
Speaker(s): Chiyu Lo, BICMR
Time: 00:00-00:00 November 24, 2015
Venue: Quan 9
时间：11月24号下午4点-6点。
地点：全9。
Speaker: Chiyu Lo，北京大学北京国际数学研究中心.
Let F be a formal module over the algebraic closure of the finite field of order p of height h. Let X be the associated rigid analytic space of the deformation space of F. The automorphism group G of F acts on X. The Gross Hopkins period map is a G-equivariant surjective map from X to the (h-1)-dimension projective space, so it is an important tools to understand G-action on X. Although this map is not a Galois covering but the fiber are related by isogenies. In the talk, I will recall some of the definitions and facts about deformation space and this period map and discuss the fibers of the period map in the case where F has height 2.
地点：全9。
Speaker: Chiyu Lo，北京大学北京国际数学研究中心.
Let F be a formal module over the algebraic closure of the finite field of order p of height h. Let X be the associated rigid analytic space of the deformation space of F. The automorphism group G of F acts on X. The Gross Hopkins period map is a G-equivariant surjective map from X to the (h-1)-dimension projective space, so it is an important tools to understand G-action on X. Although this map is not a Galois covering but the fiber are related by isogenies. In the talk, I will recall some of the definitions and facts about deformation space and this period map and discuss the fibers of the period map in the case where F has height 2.
