The theory of twisted endoscopy relates automorphic representations of classical groups to automorphic representations of general linear groups. Motivated by a conjecture of Jacquet and Rallis, Getz and Wambach suggested that there should be a similar theory of twisted relative endoscopy relating period integrals on classical groups to period integrals on general linear groups. This is of interest both from the point of view of the relative Langlands program of Jacquet, Sakellaridis, and Venkatesh, and from the link with algebraic and arithmetic geometry of Shimura varieties developed by W. Zhang among others.
This TRT is dedicated to developing and applying the theory of twisted relative endoscopy. The research section includes several key advances.
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