Differential Geometry Seminar | Quantization of the Kähler-Ricci flow, the entropy, and the optimal degeneration for a Fano manifold

Time：Tues., 21:00-22:00, Apr. 2, 2024

Venue：Zoom Meeting ID: 271 534 5558 Passcode: YMSC

Organizer：Jialong Deng, Akito Futaki

Speaker：Tomoyuki Hisamoto (Tokyo Metropolitan University)

Abstract：

In recent years the study of K-unstable Fano manifolds atracts people's attention. In this talk I will introduce the geometric quantization of the Kähler-Ricci flow and the associated entropy functional introduced by Weiyong He. The "quantized entropy" coincides with the terminology in the quantum information theory. We also show some convergence results and discuss about the finite-dimensional analogue of the optimal degeneration.

DATEApril 1, 2024

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