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[4:00pm] Mathematics Colloquium: Prof. Ravi Raghunathan: IIT Bombay
 Description:
Mathematics Colloquium
Speaker: Prof. Ravi Raghunathan
Date: Friday, 9 September 2022
Duration: 4.005.00 pm
Venue: Ramanujan Hall, Mathematics Department, Room 214
Title: Sphere packing, the Uncertainty Principle, $E_8$ and Fourier
interpolation on the real line
Abstract: The talk will focus on two theorems of M. Viazovska who was
awarded the Fields medal in Helsinki earlier this year. The first
theorem resolved the problem of sphere packing in eight dimensions,
while the closely related second theorem (proved jointly with D.
Radchenko) establishes a new "Fourier interpolation" result for even
Schwartz functions on the real line.
The first half of the talk should be completely accessible to anyone
with a first course in linear algebra and multivariable calculus (MA
109, MA 111, MA 106), and thus to most undergraduate students at IIT.
The second half will require some familiarity with basic complex
analysis (MA 205).


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