Abelian and non-abelian gravitating vortices

Organizers

Jialong Deng

Akito Futaki

Speaker

Vamsi Pritham Pingali

Time

Tues., 21:00-22:00

Sept. 10, 2024

Zoom

ID: 271 534 5558

PW: YMSC

Abstract

The gravitating vortex (GV) equations are a dimensional reduction of the Kahler-Yang-Mills-Higgs equations to a Riemann surface. The Abelian GV equations contain as a special case, the Einstein-Bogomol'yni equations modelling (the as of now, hypothetical) cosmic strings in the Bogomolo'yni phase in the early universe. The non-abelian GV equations are expected to play a similar role for Electroweak cosmic strings. Moreover, these equations might have interesting moduli spaces and arise out of a moment map interpretation. I shall describe our existence, uniqueness, and obstruction (including a Donaldson-Uhlenbeck-Yau-Kobayashi-Hitchin correspondence) results (joint with L. Alvarez-Consul, M. Garcia-Fernandez, O. Garcia-Prada, and C. Yao) for Abelian GV equations, and my recent existence result for the non-abelian case.

About the speaker

Vamsi Pritham Pingali

Indian Institute of Science

I am Vamsi Pritham Pingali, an associate professor in the department of mathematics at IISc, and a member of the Analysis and Probability Research Group.

Personal Homepage：

https://math.iisc.ac.in/~vamsipingali/