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【115/3/18】12:10-14:00 Dr. Tai-Hsuan Chung (Department of Mathematics, National Cheng Kung University)

 

Student Seminar on Geometry

Time 2026-3-18 12:10-14:00
Venue 31201, Department of Mathematics
Speaker Dr. Tai-Hsuan Chung (Department of Mathematics, National Cheng Kung University)
Title Stable Reduction Theorem for Curves: A Nutshell View
Abstract A fundamental result in algebraic geometry is the Deligne–Mumford compactification of the moduli space of curves, established via the stable reduction theorem for curves. This talk is the first in a series devoted to explaining the stable reduction theorem following the approach of Artin–Winters. In this first talk, we begin with the motivation and a prototype example, and outline the main ideas of the Artin-Winters argument; later talks will discuss the proof in more detail.
Reference

(1) Deligne–Mumford, The irreducibility of the space of curves of given genus.
(2) Artin–Winters, Degenerate fibres and stable reduction of curves.
(3) Qing Liu, Algebraic Geometry and Arithmetic Curves.

Organizer CJ Lai and TJ Lee

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