U. K. Anandavardhanan

activity

20042025

most citedA local global question in automorphic forms

9 citations · 32 across the 15 of their papers we have counts for

collaborators

16 papers

math.NT2025

Simultaneous nonvanishing of the correlation constant

U. K. Anandavardhanan

For $q = p^{m}$ , where $p$ is an odd prime number, we study the correlation coefficient $c (π; H, K)$ of an irreducible (complex) representation $π$ of $G = GL_{2} (F_{q})$ with re…

math.RT2024

The sign of linear periods

U. K. Anandavardhanan, Hengfei Lu, Nadir Matringe +2

Let $G$ be a group with subgroup $H$ , and let $(π, V)$ be a complex representation of $G$ . The natural action of the normalizer $N$ of $H$ in $G$ on the space $\mathrm{Hom}_H(π,\mat…

math.NT2023

Toric periods for a $p$ -adic quaternion algebra

U. K. Anandavardhanan, Basudev Pattanayak

Let $G$ be a compact group with two given subgroups $H$ and $K$ . Let $π$ be an irreducible representation of $G$ such that its space of $H$ -invariant vectors as well as the space o…

math.RT2021

Orthogonality of invariant vectors

U. K. Anandavardhanan, Arindam Jana

Let $G$ be a finite group with given subgroups $H$ and $K$ . Let $π$ be an irreducible complex representation of $G$ such that its space of $H$ -invariant vectors as well as the spac…

math.NT2021

Distinction and Base Change

U. K. Anandavardhanan

An irreducible smooth representation of a $p$ -adic group $G$ is said to be distinguished with respect to a subgroup $H$ if it admits a non-trivial $H$ -invariant linear form. When $…

math.RT2021★ 2 cited

Iwahori-Hecke model for mod p representations of GL(2,F)

U. K. Anandavardhanan, Arindam Jana

For a $p$ -adic field $F$ , the space of pro- $p$ -Iwahori invariants of a universal supersingular mod $p$ representation $τ$ of $GL_{2} (F)$ is determined in the works of Breuil, S…

Simultaneous nonvanishing of the correlation constant

The sign of linear periods

Toric periods for a p-adic quaternion algebra

Orthogonality of invariant vectors

Distinction and Base Change

Iwahori-Hecke model for mod p representations of GL(2,F)

Toric periods for a $p$ -adic quaternion algebra