Guy Shtotland

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math.RT2026

On Representations of Weyl Groups attached to Spherical Varieties

Guy Kapon, Guy Shtotland

To any smooth spherical $G$ variety $X$ we attach two representations of the Weyl group of $G$ . The first is constructed geometrically using Borel Moore homology. The second is con…

math.RT2026

Relative Kazhdan Lusztig isomorphism for $G L_{2 n} / S p_{2 n}$

Guy Shtotland

The Kazhdan Lusztig isomorphism, relating the affine Hecke algebra of a $p$ -adic group to the equivariant $K$ 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 $G$ with respect to a split symmetric subgroup $H \subset G$ . We relate this distinction problem…

math.RT2024

Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces

Guy Shtotland

We study the space $S (X)^{I}$ of smooth functions on a symmetric space $X = G / H$ invariant to the action of an Iwahori subgroup $I$ , as a module over $H (G, I)$ , the Iwahori He…

On Representations of Weyl Groups attached to Spherical Varieties

Relative Kazhdan Lusztig isomorphism for GL2n​/Sp2n​

Distinction of the Steinberg representation and the dual group of a symmetric space

Iwahori Matsumoto presentation for modules of Iwahori fixed functions on symmetric spaces

Relative Kazhdan Lusztig isomorphism for $G L_{2 n} / S p_{2 n}$