A. Pyvovarov

activity

20182026

most citedOn the Breuil-Schneider conjecture: Generic case

9 citations · 10 across the 5 of their papers we have counts for

collaborators

6 papers

math.NT2026

A few remarks on the Baez-Duarte Criterion

Alexandre Pyvovarov

We study exponentially damped Möbius approximants in $H = L^{2} ([1, \infty), d t / t^{- 2})$ . With \[ γ_n(t)=\left\lfloor\frac tn\right\rfloor -\frac{\lfloor t\rfloor}{n},\qquad f(u…

math.RT2026

Space of norms on locally algebraic representations

Alexandre Pyvovarov

Let $F$ and $E$ be finite extensions of $Q_{p}$ , let $G$ be a reductive group over $F$ , and put $G = G (F)$ . Let $V$ be a locally algebraic representation of the…

math.NT2019

On the Breuil-Schneider conjecture II: Potentially crystalline non-generic case

Alexandre Pyvovarov

This paper improves some results of the author's previous work. We investigate the case of non-smooth points on automorphic components and prove the Breuil--Schneider conjecture un…

math.NT2018★ 1 cited

Generic smooth representations

Alexandre Pyvovarov

Let $F$ be a non-archimedean local field. In this paper we explore genericity of irreducible smooth representations of $G L_{n} (F)$ by restriction to a maximal compact subgroup $K$ of…

math.NT2018★ 9 cited

On the Breuil-Schneider conjecture: Generic case

Alexandre Pyvovarov

We use the Taylor-Wiles-Kisin patching method to prove some new cases of the Breuil-Schneider conjecture.

math.NT2018

The endomorphism ring of projectives and the Bernstein centre

Alexandre Pyvovarov

Let $F$ be a local non-archimedean field and $O_{F}$ its ring of integers. Let $Ω$ be a Bernstein component of the category of smooth representations of $G L_{n} (F)$ , let $(J,…