Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
The Hassett—Keel Program for the Moduli Space of Curves
Kenneth Ascher (University of California, Irvine)
Abstract
The Hassett—Keel program seeks to give a modular interpretation to the log minimal model program for the moduli space of curves of genus g. The first few steps, in all genera, are known due to the work of Hassett—Hyeon and Alper—Fedorchuk—Smyth—van der Wyck. I will review the previously known results, and we will then discuss the full picture in the case of genus four, supplementing previous results of Fedorchuk, Hyeon—Lee, and Casalaina-Martin—Jensen—Laza. Our main techniques are wall-crossing for moduli spaces in the sense of K-stability and KSBA-stability, as well as the recently constructed moduli space of boundary polarized Calabi-Yau surface pairs. This talk is based on joint work with Kristin DeVleming, Yuchen Liu, and Xiaowei Wang.
Organizer: Flora Poon (NCTS)
