Anand Chitrao

collaborators

5 papers

math.NT2026

On the $I (1)$ -invariants: Non-abelian Hecke algebra case

Anand Chitrao, Arindam Jana, Asfak Soneji

Let $F$ be a finite extension of $Q_{p}$ . The so-called supersingular representations are the basic building blocks in the theory of mod $p$ representations of ${\rm GL}_2(F…

math.NT2026

Reduction mod $p$ of semi-stable representations of some super-Breuil weights

Anand Chitrao, Eknath Ghate

We determine the mod $p$ reductions of the semi-stable representations $V_{k, L}$ of weight $k \in [p + 5, 2 p] \cup [2 p + 6, 3 p + 1]$ and $v_{p} (L) < 1 - k /2$ for pri…

math.NT2026

Explicit isomorphisms for a Herr-type complex over a metabelian extension

Anand Chitrao, Aditya Karnataki, Jishnu Ray

Let $S$ be a Banach algebra over $Q_{p}$ whose residue fields are finite extensions of $Q_{p}$ . Given an arithmetic family $V$ of Galois representations, i.e., a fini…

math.NT2025

Iwahori-Hecke model for the universal supersingular representation

Anand Chitrao, Asfak Soneji

Let $F$ be a non-archimedean local field with residue field $F_{q}$ . When $F$ is a finite extension of $Q_{p}$ , Anandavardhanan-Borisagar and Anandavardhanan-Jana i…

math.NT2025

Semi-stable representations as limits of crystalline representations

Anand Chitrao, Eknath Ghate, Seidai Yasuda

We construct an explicit sequence $V_{k_{n}, a_{n}}$ of crystalline representations of exceptional weights converging to a given irreducible two-dimensional semi-stable representation $…

On the I(1)-invariants: Non-abelian Hecke algebra case

Reduction mod p of semi-stable representations of some super-Breuil weights

Explicit isomorphisms for a Herr-type complex over a metabelian extension

Iwahori-Hecke model for the universal supersingular representation

Semi-stable representations as limits of crystalline representations

On the $I (1)$ -invariants: Non-abelian Hecke algebra case

Reduction mod $p$ of semi-stable representations of some super-Breuil weights