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Speaker:

Chenyang Xu
Affiliation:

Peking/Paris/MIT
Date:

Thu, 2018-04-19 10:30 - 12:00
Location:

MPIM Lecture Hall
Parent event:

Seminar Algebraic Geometry (SAG) One guiding principle for the class of kawamata log terminal (klt) singularities is that it is the local analogue of Fano varieties. In this talk, I will discuss our work (joint with Chi Li) on establishing an algebraic stability theory, which is the analogue to the K-stability of Fano varieties, for a klt singularity. This is achieved by using Chi Li’s definition of normalised volumes on the ’non-archimedean link'. The conjectural picture can be considered as a purely local construction which algebrizes the metric tangent cone in complex geometry. As an application, we solve Donaldson-Sun’s conjecture.

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