Bol's inequalities for the singular Liouville equation
Dr. Mrityunjoy Ghosh (Post Doctoral Fellow, TIFR CAM)
| Speaker |
Dr. Mrityunjoy Ghosh (Post Doctoral Fellow, TIFR CAM)
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|---|---|
| When |
Aug 05, 2024
from 11:00 AM to 12:00 PM |
| Where | LH-006, Ground Floor |
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SEMINAR TALK
Title: Bol's inequalities for the singular Liouville equation
Abstract: In this talk, we focus mainly on various volume estimates of the conformal metric associated with certain solutions of the conformally invariant equation. Furthermore, we provide some applications of these estimates to the existence of solutions to singular Liouville equations. The talk will start with reviewing the classification results for the classical conformally invariant equations in different dimensions. Then we move on to Bol's inequalities for such equations followed by their consequences that provide the full descriptions of the total curvature for some solutions to the singular Liouville equations.