2017 TIMS Algebraic Geometry Group Meeting_Mr. You-Cheng Chou (Mar. 6, 2017)
分類：國內活動
Taida Institute for Mathematical Sciences
2017 TIMS Algebraic Geometry Group Meeting
Speaker: Mr. You-Cheng Chou (National Taiwan University)
Title: The moduli space of curves as a stack, II
Abstract: This is the second talk of a series of two talks, where we will introduce the proof of the groupoid of stable, n-pointed, genus g curves as a Deligne-Mumford stack in three stages. First, as a quotient groupoid, we show that it is isomorphic to the Hilbert scheme of v-log-canonically embedded, stable, n-pointed genus g curves quotient the projective general linear group. Then we briefly recall the Grothendieckกฆs descent theory for quasi-coherent sheaves and use it to show that the moduli groupoid is a stack and, finally, Deligne-Mumford stack.
Reference: Arbarello, Cornalba, Griffiths: Geometry of Algebraic Curves, vol 2, chap 12.
Date: Monday, March 06, 2017
Time: 15:30~17:00
Place: Room 103, Mathematics Research Center Building (ori. New Math. Bldg.), National Taiwan University
Organizing Committee:
Prof. Chen-Yu Chi (Department of Mathematics, NTU)
Prof. Yuan-Pin Lee (University of Utah, USA)
Prof. Hui-Wen Lin (Department of Mathematics, NTU)
Prof. Chin-Lung Wang (Department of Mathematics, NTU)
Prof. Jeng-Daw Yu (Department of Mathematics, NTU)
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Taida Institute for Mathematical Sciences
Tel: 886-2-3366-9902
http://www.tims.ntu.edu.tw
