|
Analysis seminar |
|
|
Date |
Friday, 1 Mar, 4 pm |
|
Venue |
Ramanujan Hall |
|
Host |
Saikat Mazumdar |
|
speaker |
Saikat Mazumdar |
|
Affiliation |
IIT Bombay |
|
Title |
Taming explosions by blowing up |
Abstract: In this talk, I will consider the question of compactness of (approximate) solutions to some Yamabe-type problems. We will see that by appropriately blowing up the singularities a finer analysis often reveals some analytical or geometric rigidity, thereby ruling out explosions. This establishes uniform bounds which implies compactness (in the appropriate topology) and gives existence and non-existence results.