K-stability is a central topic in modern complex geometry. It characterises Fano manifolds that admit a Kähler-Einstein metric and provides a good notion of compact moduli space for Fano varieties. The winter school will bring together experts on K-stability who will give 3 mini-courses for PhD students and young researchers with a special focus on explicit problems in dimensions two and three. Along with lecture courses, there will be exercise sessions.

The speakers for the mini-courses are: Hamid Abban (University of Nottingham), Thibaut Delcroix (Université de Montpellier), Elena Denisova (University of Edinburgh), Ruadhaí Dervan (University of Glasgow), Kristin DeVleming (University of San Diego), Erroxe Etxabarri Alberdi (University of Warwick), Kento Fujita (Osaka University), Eveline Legendre (Université de Lyon).

Organising committee: Ivan Cheltsov, Liana Heuberger, Frédéric Mangolte

Scientific committee: Carolina Araujo, Sébastien Boucksom, Simon Donaldson, Chenyang Xu