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Back to Algebraic Geometry Seminar: Spring 2021

Algebraic Geometry Seminar


Date: Monday, Jan 25, 2021

Time: 3:30PM - 4:30PM

Location: Zoom

4 pm


Harold Blum

Stony Brook University

Title

Destabilizations of K-unstable Fano varieties

Abstract

A key feature of stability theories in algebraic geometry is that unstable objects admit uniquely determined optimal destabilizations. This philosophy should hold for K-stability, which is a notion introduced by differential geometers to detect when Fano varieties admit Kahler-Einstein metrics. In this talk, I will discuss properties of certain optimal destabilization of K-unstable Fano varieties and uniqueness results. This is based on joint works with Yuchen Liu and Chuyu Zhou.

Algebraic Geometry

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