A gentle introduction to Fourier restriction inequalities
Dr. Chandan Biswas, Department of Mathematics, Indian Institute of Science, Bangalore
Speaker |
Dr. Chandan Biswas, Department of Mathematics, Indian Institute of Science, Bangalore
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When |
Feb 22, 2023
from 04:00 PM to 05:00 PM |
Where | LH006 TIFR CAM and Via Zoom |
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Abstract : Initiated by Elias Stein in late 1960’s the Fourier restriction conjecture has played a central part in the development of modern harmonic analysis. Despite continuous progress over the last five decades, currently this remains out of reach in dimensions bigger than two. To get a better sense of restriction inequalities, we consider Fourier restriction estimates onto curves $\gamma : \R \to \Rd$. Even in this well-explored setting, there are many basic questions that remain open such as the question of existence of maximizers for such inequalities. This talk will be a gentle introduction to such questions and some recent progress on these. This is based on our recent works with Betsy Stovall (at University of Wisconsin Madison).
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https://zoom.us/j/93563600446?pwd=MEZXNmk2UFBEaVl4UkRMb0ZZN2liQT09
Meeting ID: 935 6360 0446
Passcode: 311370
https://zoom.us/j/93563600446?pwd=MEZXNmk2UFBEaVl4UkRMb0ZZN2liQT09
Meeting ID: 935 6360 0446
Passcode: 311370