Colloquium

Ruixiang Zhang from IAS will be speaking.

The title is "Kakeya type problems and analysis".
This meeting will take place over Zoom.

The event description is as follows:

Informally, Kakeya type problems ask whether tubes with different positions and directions can overlap a lot. One usually expects the answer to be no in an appropriate sense. Thanks to the uncertainty principle, such a quantified non-overlapping theorem would often see powerful applications in analysis problems that have Fourier aspects. Perhaps the most well-known Kakeya type problem is the Kakeya conjecture. It remains widely open in Rn(n>2) as of today. Nevertheless, in the recent few decades people have been able to prove new Kakeya type theorems that led to improvements or complete solutions to analysis problems that appeared out of reach before. I will give an introduction to Kakeya type problems/theorems and analysis problems that see their applications. Potentially reporting some recent progress joint with Du, Guo, Guth, Hickman, Iosevich, Ou, Rogers, Wang and Wilson.

Location:	Zoom link provided on Math Seminars page [map]
Price:	free
Sponsor:	Department of Mathematics
Contact:	Department of Mathematics (517) 353-0844
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