K-moduli of Fano varieties

Chenyang Xu (MIT)

22-May-2020, 18:00-19:30 (19 months ago)

Abstract: One main theme of the algebraic K-stability theory of Fano varieties is to use it to construct moduli spaces of Fano varieties. This has once been beyond algebraic geometers’ imagination, but K-stability is proven to give the right framework. By now except the properness, all other main ingredients have essentially been established, based on the recent development of our understanding of K-stability theory and other inputs. In this talk, we will give an outline of the construction, with the focus on the essential role that the new characterisation of K-stability plays, and its connection to minimal model program theory.

algebraic geometry

Audience: researchers in the topic


Stanford algebraic geometry seminar

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More seminar information (including slides and videos, when available): agstanford.com

Organizer: Ravi Vakil*
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