For any reductive group $ G $ over a global function field, we use the cohomology of $ G $-
shtukas with multiple modifications and the geometric Satake equivalence to prove the …

We introduce spaces of exponential constructible functions in the motivic setting for which
we construct direct image functors in the absolute and relative settings. This allows us to …

Let E/F be a quadratic extension of number fields. We study periods and regularized periods
of cusp forms and Eisenstein series on GLn (AE) over a unitary group of a Hermitian form …

Whittaker functions are ubiquitous in the modern theory of automorphic functions. In this
paper we develop a geometric version of the local Whittaker theory in the non-archimedian …

We prove a conjecture of Frenkel, Gaitsgory, Kazhdan and Vilonen, related to Fourier
coefficients of spherical perverse sheaves on the affine Grassmannian associated to aa split …

For any reductive group G over a global function field, we use the cohomology of G-shtukas
with multiple modifications and the geometric Satake equivalence to prove the global …

The purpose of this paper is to explain how the identities of various fundamental lemmas fall
within the scope of the transfer principle, a general result that allows to transfer theorems …

We introduce the concept of a geometric categorical sl 2 action and relate it to that of a
strong categorical sl 2 action. The latter is a special kind of 2-representation in the sense of …

Fix a split connected reductive group G over a field k, and a positive integer r. For any r-tuple
of dominant coweights μi of G, we consider the restriction [Formula: see text] of the r-fold …

Quantum K-theoretic geometric Satake: the SLn case Page 1 Quantum K-theoretic geometric
Satake: the SLn case Sabin Cautis and Joel Kamnitzer Compositio Math. 154 (2018), 275–327 …