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UID:e226e71417eba3d6970804c8e9ab77bc
CATEGORIES:Number Theory Seminar
CREATED:20240211T171056
SUMMARY:Fourier Interpolation and the Weil Representation
LOCATION:Hill 525
DESCRIPTION:
CONTACT:Mathilde Gerbelli-Gauthier (McGill University)
X-EXTRAINFO:Abstract:\nIn 2017, Radchenko-Viazovska proved a remarkable interpolation r
 esult for even Schwartz functions on the real line: such a function is enti
 rely determined by its values and those of its Fourier transform at square 
 roots of integers. We give a new proof of this result, exploiting the fact 
 that Schwartz functions are the underlying vector space of the Weil represe
 ntation ?. This allows us to deduce the interpolation result from the compu
 tation of the cohomology of a certain congruence subgroup of ??2(ℤ) with va
 lues in ?. This is joint work with Akshay Venkatesh.
DTSTAMP:20260828T185710
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DTEND;TZID=America/New_York:20240326T150000
SEQUENCE:0
TRANSP:OPAQUE
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