Parabolic approach to the (analytic) Minimal Model Program

Thời gian: 10h00, thứ Tư, ngày 11/01/2023

Địa điểm: Phòng Seminar tầng 5, tòa nhà A6, Viện Toán học.

Tóm tắt: The Kahler-Ricci flow started as a small branch of the study of Hamilton’s Ricci flow, but by now is itself a vast area of research. In this talk, we provide an introduction to the study of the Kahler-Ricci flow on compact Kahler manifolds, and some recent developments. We next briefly present the Kahler-Ricci flow approach to the Analytic Minimal Model Program proposed by Song-Tian to tackle the classification of compact Kahler manifolds. One is led to develop a theory of weak solutions to the Kahler-Ricci flow on Kahler varieties with mild singularities.