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Yiannis Sakellaridis : Non-standard comparisons of trace formulas

By a non-standard comparison between (relative) trace formulas we mean one where the scalar "transfer factors" are substituted by non-scalar "transfer operators". The problem of global triviality of transfer factors now becomes a problem of proving a Poisson summation formula for such non-scalar operators. I will discuss the adelic analysis behind such a non-standard comparison, that leads to a new proof of Waldspurger's theorem on toric periods for GL(2) and the analytic continuation of the quadratic base change L-function in the spirit of "Beyond Endoscopy".

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