Abstract: A fundamental lemma is an identity relating p-adic integrals on two different groups. These pretty identities fit into a larger story of trace formulas and special values of L-functions.  Our goal is to present recent work of Beuzart-Plessis on the Jacquet-Rallis fundamental lemma, comparing integrals on GL(n) and U(n). As well as work of Li-Zhang and Zhang on arithmetic versions.  The key tool here is the Weil representation/Fourier transform.  We will start with background on Waldspurger's formula, relative trace formula, Gan-Gross-Prasad, etc and will also discuss arithmetic applications. We will try not to assume too much, at least in the first half of the semester.

References: 


https://arxiv.org/pdf/1901.02653.pdf
https://arxiv.org/pdf/1908.01701.pdf
https://arxiv.org/pdf/1909.02697.pdf

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Ari Shnidman is inviting you to a scheduled Zoom meeting.

Topic: Fundamental lemma and fourier transform
Time: Oct 18, 2020 11:00 AM Jerusalem
        Every week on Sun, until Jan 24, 2021, 15 occurrence(s)
        
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