S. Rozensztajn

activity

20122022

most citedReduction of Galois Representations of slope 1

21 citations · 33 across the 6 of their papers we have counts for

collaborators

8 papers

math.NT2022★ 1 cited

Super-Hölder vectors and the field of norms

Laurent Berger, Sandra Rozensztajn

Let E be a field of characteristic p. In a previous paper of ours, we defined and studied super-Hölder vectors in certain E-linear representations of Z_p. In the present paper, we…

math.NT2022

Potentially semi-stable deformation rings for representations with values in $P G L_{n}$

Agnès David, Sandra Rozensztajn

We study the potentially semi-stable deformation rings for Galois representations taking their values in $P G L_{n}$ , by comparing them to the deformation rings for $G L_{n}$ . As an appli…

math.NT2022

Decompletion of cyclotomic perfectoid fields in positive characteristic

Laurent Berger, Sandra Rozensztajn

Let $E$ be a field of characteristic $p$ . The group $Z_{p}^{\times}$ acts on $E ((X))$ by $a \cdot f (X) = f ((1 + X)^{a} - 1)$ . This action extends to the $X$ -adic completion $\tilde{…

math.NT2017★ 1 cited

On the locus of $2$ -dimensional crystalline representations with a given reduction modulo $p$

Sandra Rozensztajn

We consider the family of irreducible crystalline representations of dimension $2$ of $Gal (Q_{p} / Q_{p})$ given by the $V_{k, a_{p}}$ for a fixed weight integer…

math.NT2016★ 5 cited

An algorithm for computing the reduction of $2$ -dimensional crystalline representations of $Gal (Q_{p} / Q_{p})$

Sandra Rozensztajn

We describe an algorithm to compute the reduction modulo $p$ of a crystalline Galois representation of dimension $2$ of $Gal (Q_{p} / Q_{p})$ with dist…

math.NT2015★ 21 cited

Reduction of Galois Representations of slope 1

Shalini Bhattacharya, Eknath Ghate, Sandra Rozensztajn

We compute the reductions of irreducible crystalline two-dimensional representations of $G_{Q_{p}}$ of slope 1, for primes $p \geq 5$ , and all weights. We describe the semis…

math.NT2014

Potentially semi-stable deformation rings for discrete series extended types

Sandra Rozensztajn

We define deformation rings for potentially semi-stable deformations of fixed discrete series inertial type in dimension $2$ . In the case of representations of the Galois group of…

math.NT2012★ 5 cited

Asymptotic values of modular multiplicities for GL_2

Sandra Rozensztajn

We study the irreducible constituents of the reduction modulo p of irreducible algebraic representations V of Res_{K/Q_p} GL_2 for K a finite extension of Q_p. We show that asympto…

Super-Hölder vectors and the field of norms

Potentially semi-stable deformation rings for representations with values in PGLn​

Decompletion of cyclotomic perfectoid fields in positive characteristic

On the locus of 2-dimensional crystalline representations with a given reduction modulo p

An algorithm for computing the reduction of 2-dimensional crystalline representations of Gal(Q​p​/Qp​)

Reduction of Galois Representations of slope 1

Potentially semi-stable deformation rings for discrete series extended types

Asymptotic values of modular multiplicities for GL_2

Potentially semi-stable deformation rings for representations with values in $P G L_{n}$

On the locus of $2$ -dimensional crystalline representations with a given reduction modulo $p$

An algorithm for computing the reduction of $2$ -dimensional crystalline representations of $Gal (Q_{p} / Q_{p})$