Speaker: Vamsi Pingali (Department of Mathematics, IISc.)
Time, Day and Date: 11:30 a.m., Tuesday, May 14
Venue: Ramanujan Hall (2nd floor, Department of Mathematics)
Title: Gravitating vortices and cosmic strings
Abstract: The gravitating vortex (GV) equations on a compact Riemann surface arise as a dimensional reduction of the Kaehler-Yang-Mills equations. A special case of the GV equations includes the equations governing the (as of now, hypothetical) cosmic strings. I shall describe existence, uniqueness, and algebro-geometric obstructions to existence to these equations. This talk is based on joint work with M. Garcia-Fernandez, L. Alvarez-Consul, O. Garcia-Prada, and Chengjian Yao.