44 citations · 140 across the 19 of their papers we have counts for
21 papers
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…
Transfer operators and Hankel transforms: horospherical limits and quantization
Yiannis Sakellaridis
Transfer operators are conjectural "operators of functoriality," which transfer test measures and (relative) characters from one homogeneous space to another. In previous work, I c…
Local and global questions "beyond endoscopy"
Yiannis Sakellaridis
The near-completion of the program of endoscopy poses the question of what lies next. This article takes a broad view of ideas beyond the program of endoscopy, highlighting the con…
Spherical varieties, functoriality, and quantization
Yiannis Sakellaridis
We discuss generalizations of the Langlands program, from reductive groups to the local and automorphic spectra of spherical varieties, and to more general representations arising…
Intersection complexes and unramified -factors
Yiannis Sakellaridis, Jonathan Wang
Let X be an affine spherical variety, possibly singular, and its arc space. The intersection complex of , or rather of its finite-dimensional formal models, is conject…
Functorial transfer between relative trace formulas in rank one
Yiannis Sakellaridis
According to the Langlands functoriality conjecture, broadened to the setting of spherical varieties (of which reductive groups are special cases), a map between L-groups of spheri…