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.

Algebraic Groups Seminar

Tuesday, May 14, 2024, 4 pm
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Venue: Ramanujan Hall

Host: Shripad M. Garge

Speaker: Saad

Affiliation: IIT Bombay, Mumbai

Title: Semi-simple groups of rank one

Abstract: We prove that a connected, semi-simple group of rank one is
isomorphic to SL(2) or PSL(2).