K-moduli of Fano varieties

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

Comments: The discussion for Chenyang Xu’s talk is taking place not in zoom-chat, but at tinyurl.com/2020-05-22-cx (and will be deleted after 3-7 days).

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Stanford algebraic geometry seminar

Series comments: Seminar meets 11-12:30 pm pacific time when there is just one talk, and 10:45-11:45 and 12-1 pm pacific time when there is a double header.

Register in advance for this meeting: stanford.zoom.us/meeting/register/tJEvcOuprz8vHtbL2_TTgZzr-_UhGvnr1EGv

More seminar information: agstanford.com

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