November 14, 2022
This session is part of the John Conway Spirited Seminar Series.
A central problem in Differential Geometry is to determine which are the 'best' metrics one can put on a given space. In this session, Professor Arezzo will review why 'best' has been interpreted as 'with constant curvature' in various situations and describe some classical challenges in proving their existence also on very simple spaces. He will then describe the behaviour of constant scalar curvature under few natural geometric constructions on algebraic manifolds. In particular, Professor Arezzo will present few existence results for blow ups of smooth points (in collaboration with Pacard and Singer) and on Galois covers (with Della Vedova and Shi).
Join the session here.