April 2023, Gokova, Turkey
The session will bring together algebraic geometers from the UK, Europe and Asia to work together on higher dimensional Fano varieties. The focus will be made on their birational geometry, derived categories, K-stability and applications to Cremona groups. In particular, the following explicit problems will be considered during the research session: K-stability of smooth Fano threefolds of Picard rank 2 and degree 26, geometric version of Kollar’s conjecture about birational rigidity and field extension, classification of maximally non-factorial nodal Fano threefolds after Pavic and Shinder, boundedness of the image of the Lin-Shinder invariant.