Talk page

Title:
GIT stability and compactification of moduli space

Speaker:
Xiaowei Wang

Abstract:
In order to construct the moduli space of canonical polarized manifolds, three different stability conditions have been introduced, namely, KSBA-stability, K-stabilty and asymptotic GIT stability.In this talk, we try to explore the relations among them. In particular, any canonical polarized manifold is stable with respect to all three conditions above, however the compactifications they give are different. As a consequence, we show that asymptotically GIT Chow semistable varieties do not form a proper family, thus answer a question asked

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=2164

Workshop:
Simons- Program: Moduli spaces and singularities in algebraic and Riemannian geometry