Kaustabh Mondal

activity

20242026

collaborators

4 papers

math.NT2026

Potential semistability of Finite height Galois representations: Relative case

Kaustabh Mondal

Let $K$ be a $p$ -adic field. We define the notion of finite height for an Ã©tale $Z_{p}$ -local system on a smooth adic space $X$ over $K$ with semistable reduction…

math.RT2025

Representation Equivalence of Lattices in Lie Groups

Chandrasheel Bhagwat, Kaustabh Mondal

Let $I^_{1}$ and $I^_{2}$ be two lattices of finite covolume in a semisimple Lie group $G$ . We prove a spectral rigidity result for the representation spectra of the right regular repr…

math.RT2025

A finite Linear Dependence of Discrete Series Multiplicities

Kaustabh Mondal, Gunja Sachdeva

Let $G$ be a connected semisimple simply connected Lie group with a compact Cartan subgroup and let $I^$ be a uniform lattice in $G$ . Let $G_{d}$ denote the set of equivale…

math.RT2024

On Infinitesimal $I ¨ $ -Isospectrality of Locally Symmetric Spaces

Chandrasheel Bhagwat, Kaustabh Mondal, Gunja Sachdeva

Let $(I ¨ , V_{I ¨} )$ be a finite dimensional representation of a maximal compact subgroup $K$ of a connected non-compact semisimple Lie group $G$ , and let $I^$ be a uniform torsion-fre…

Potential semistability of Finite height Galois representations: Relative case

Representation Equivalence of Lattices in Lie Groups

A finite Linear Dependence of Discrete Series Multiplicities

On Infinitesimal I¨-Isospectrality of Locally Symmetric Spaces

On Infinitesimal $I ¨ $ -Isospectrality of Locally Symmetric Spaces