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math.RT2024★ 7 cited
Relative Langlands Duality
David Ben-Zvi, Yiannis Sakellaridis, Akshay Venkatesh
We propose a duality in the relative Langlands program. This duality pairs a Hamiltonian space for a group with a Hamiltonian space under its dual group , and recove…
math.NT2024
Cohomology of Fuchsian groups and Fourier interpolation
Mathilde Gerbelli-Gauthier, Akshay Venkatesh
We give a new proof of a Fourier interpolation result first proved by Radchenko-Viazovska, deriving it from a vanishing result of the first cohomology of a Fuchsian group with coef…
math.NT2024
Some Singular Examples of Relative Langlands Duality
Eric Y. Chen, Akshay Venkatesh
Relative Langlands duality structures the study of automorphic periods around a putative duality between certain group actions of Langlands dual reductive groups. In this article,…