K-stability and related topics

January 6 to January 10, 2020

at the

American Institute of Mathematics, San Jose, California

organized by

Kento Fujita, Mattias Jonsson, and Chenyang Xu

Original Announcement

This workshop will be devoted to reviewing recent progress on K-stability of Fano varieties with an emphasis on the the algebraic theory. The organizing theme will be to investigate connections between various approaches and encourage participants from different backgrounds to share techniques with each other. The workshop will bring together experts in K-stability as well as in the minimal model program, differential geometry, singularity theory and positive characteristic methods.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Workshop videos

Papers arising from the workshop:

On Fano threefolds of degree 22 after Cheltsov and Shramov
by  Kento Fujita
On K-stability for Fano threefolds of rank 3 and degree 28
by  Kento Fujita
The Calabi Problem for Fano threefolds
by  Carolina Araujo, Ana-Maria Castravet, Ivan Cheltsov, Kento Fujita, Anne-Sophie Kaloghiros, Jesus Martinez-Garcia, Constantin Shramov, Hendrik Süss, Nivedita Viswanathan
On toric geometry and K-stability of Fano varieties
by  Anne-Sophie Kaloghiros, Andrea Petracci