9 citations · 25 across the 11 of their papers we have counts for
12 papers
Jump to Conclusions: Short-Cutting Transformers With Linear Transformations
Alexander Yom Din, Taelin Karidi, Leshem Choshen +1
Transformer-based language models create hidden representations of their inputs at every layer, but only use final-layer representations for prediction. This obscures the internal…
On irreps of a Hecke algebra of a non-reductive group
David Kazhdan, Alexander Yom Din
We study irreducible representations of the Hecke algebra of the pair where is a local non-Archimedean fie…
On tempered representations
David Kazhdan, Alexander Yom Din
Let be a unimodular locally compact group. We define a property of irreducible unitary -representations which we call c-temperedness, and which for the trivial boils…
A Paley-Wiener theorem for spherical -adic spaces and Bernstein morphisms
Alexander Yom Din
Let be (the rational points of) a connected reductive group over a local non-archimedean field . In this article we formulate and prove a property of an -spherical homoge…
Second adjointness for tempered admissible representations of a real group
Alexander Yom Din
We study second adjointness in the context of tempered admissible representations of a real reductive group. Compared to a recent result of Crisp and Higson, this generalizes from…
On parabolic restriction of perverse sheaves
Roman Bezrukavnikov, Alexander Yom Din
We prove exactness of parabolic restriction and induction functors for conjugation equivariant sheaves on a reductive group generalizing a well known result of Lusztig who establis…
On the Deligne-Lusztig involution for character sheaves
Alexander Yom Din
For a reductive group G, we study the Drinfeld-Gaitsgory functor of the category of conjugation-equivariant D-modules on G. We show that this functor is an equivalence of categorie…
An analog of the Deligne-Lusztig duality for -modules
Dennis Gaitsgory, Alexander Yom Din
Drinfeld suggested the definition of a certain endo-functor, called the pseudo-identity functor, on the category of D-modules on an algebraic stack. We extend this definition to an…
On the Casselman-Jacquet functor
Tsao-Hsien Chen, Dennis Gaitsgory, Alexander Yom Din
We study the Casselman-Jacquet functor , viewed as a functor from the (derived) category of -modules to the (derived) category of -modules,…
On properties of the Casselman-Jacquet functor
Alexander Yom Din
In this thesis, we study the Casselman-Jacquet functor. We discuss a new technical approach which makes the Casselman-Jacquet functor right adjoint to the Bernstein functor. We giv…
A Formula for the Geometric Jacquet Functor and its Character Sheaf Analogue
Tsao-Hsien Chen, Alexander Yom Din
Let (G,K) be a symmetric pair over the complex numbers, and let X=K\G be the corresponding symmetric space. In this paper we study a nearby cycles functor associated to a degenerat…
Reciprocity laws and -theory
Evgeny Musicantov, Alexander Yom Din
We associate to a full flag in an -dimensional variety over a field , a "symbol map" . Here, is the field of rati…