Speaker: Carlos Esparza (C. N. Yang Institute for Mathematics and Fundamental Physics)
Time: 14:30-15:30, Oct 29, 2026
Venue: room 1329, Building 1 (Section A), New Campus of USTC Shanghai Institute for Advanced Studies & Tencent Meeting ID: 489-235-794
I will talk about recent results concerning the geometry of shrinking gradient Kähler−Ricci solitons, which relate the metric geometry of the shrinker metric and the algebraic geometry of the underlying manifold. This makes it possible to define geodesics in a space of quadratic growth Kähler potentials. Thus we can show that a shrinker metric is unique on a fixed complex manifold, and its existence requires the underlying manifold to be K-polystable. Based on joint work with Junsheng Zhang.
