S. Dhar

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20242026

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math.RT2026

On Tate cohomology and base change of representations of $D^{\times}$

Sabyasachi Dhar

Let $F$ be a non-Archimedean local field with residue characteristic $p$ , and let $D$ be a central $F$ -division algebra of degree $d$ . Let $E / F$ be a finite Galois extension of pri…

math.RT2026

Asai Gamma Factors and Distinction in families

Sabyasachi Dhar, Hariom Sharma

Let $F$ be a finite extension of $Q_{p}$ and let $E$ be a quadratic extension of $F$ . A representation $(I ¨ , V)$ of $GL_{n} (E)$ is said to be $GL_{n} (F)$ -distinguishe…

math.RT2025

A note on finiteness of Tate cohomology groups

Sabyasachi Dhar, Santosh Nadimpalli

Let $G$ be a reductive algebraic group defined over a non-Archimedean local field $F$ of residue characteristic $p$ . Let $I ¨ $ be an automorphism of $G$ of order $ℓ$ -- a prime n…

math.RT2025

Jacquet modules of Tate cohomology and base change lifting

Sabyasachi Dhar, Santosh Nadimpalli

Let $G$ be a connected reductive group defined over a non-Archimedean local field $F$ of residue characteristic $p$ . Let $ℓ$ be a prime number distinct from $p$ . Let $E$ be a cy…

math.RT2025

Kazhdan isomorphism over families and integrality under close local fields

Sabyasachi Dhar

Let $G$ be a split connected reductive group defined over $Z$ . Let $F$ be a locally compact non-Archimedean field with residue characteristic $p$ . For a locally compact no…

math.RT2024

Tate cohomology and local base change of generic representations of $GL_{3}$ -- non-banal case

Sabyasachi Dhar

Let $F$ be a finite extension of $Q_{p}$ , and let $E$ be a finite Galois extension of $F$ with degree of extension $l$ , where $l$ and $p$ are distinct odd primes. Let $I ¨ _{F}$ …

On Tate cohomology and base change of representations of D×

Asai Gamma Factors and Distinction in families

A note on finiteness of Tate cohomology groups

Jacquet modules of Tate cohomology and base change lifting

Kazhdan isomorphism over families and integrality under close local fields

Tate cohomology and local base change of generic representations of GL3​ -- non-banal case

On Tate cohomology and base change of representations of $D^{\times}$

Tate cohomology and local base change of generic representations of $GL_{3}$ -- non-banal case