3 papers
math.RT2026
On Representations of Weyl Groups attached to Spherical Varieties
Guy Kapon, Guy Shtotland
To any smooth spherical variety we attach two representations of the Weyl group of . The first is constructed geometrically using Borel Moore homology. The second is con…
math.RT2026
Relative Kazhdan Lusztig isomorphism for
Guy Shtotland
The Kazhdan Lusztig isomorphism, relating the affine Hecke algebra of a -adic group to the equivariant theory of the Steinberg variety of its Langlands dual, played a key ro…
math.RT2025
Distinction of the Steinberg representation and the dual group of a symmetric space
Guy Shtotland
We study the distinction of the Steinberg representation of a split reductive group with respect to a split symmetric subgroup . We relate this distinction problem…