Santosh Nadimpalli

activity

20242026

collaborators

8 papers

math.RT2026

Uniqueness of Branching through regular unipotent elements

Santosh Nadimpalli, Santosha Pattanayak

Let $\mathrm G$ be a complex simple algebraic group and let $\mathrm G_0\subset \mathrm G$ be a closed connected subgroup containing a regular unipotent element of \(\mathrm G\…

math.NT2026

Exceptional poles of archimedean Rankin-Selberg L-functions for principal series representations of GL(n,R)

Yeongseong Jo, Santosh Nadimpalli, Akash Yadav

We prove that for any pair of irreducible principal series representations $(I ¨ _{1}, I ¨ _{2})$ of $GL_{n} (R)$ in general position, the notions of exceptional pole o…

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

Character theory at a torsion element

Santosh Nadimpalli, Santosha Pattanayak, Dipendra Prasad

The paper relates character value of an irreducible representation of a compact connected Lie group at certain elements of finite order with the dimension of a representation on an…

math.NT2025

Families over the integral Bernstein Center and Tate cohomology of local Base change lifts for GL(n, F)

Sabyasachi Dhar, Santosh Nadimpalli

Let $p$ and $l$ be distinct odd primes, and let $F$ be a $p$ -adic field. Let $I ¨ $ be a generic smooth integral representation of $GL_{n} (F)$ over an $Q_{l}$ -v…