Speaker: Matthew Headrick (MIT)
Title: Numerical Ricci-flat metrics on K3
Abstract: Ever since Yau proved Calabi's conjecture, concerning the existence of Ricci-flat metrics on compact Kahler manifolds with vanishing first Chern class, finding explicit examples of such metrics has been an important open problem in differential geometry, with significant applications to string theory. No analytic solutions are known. In this talk I will describe the first numerical solutions, obtained for the K3 surface, and how they were obtained. There will be pretty pictures.