Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Paskunas, Vytautas"'
Autor:
Paškūnas, Vytautas, Quast, Julian
We study deformation theory of mod $p$ Galois representations of $p$-adic fields with values in generalised reductive group schemes, such as $L$-groups and $C$-groups. We show that the corresponding deformation rings are complete intersections of exp
Externí odkaz:
http://arxiv.org/abs/2404.14622
Autor:
Paškūnas, Vytautas, Quast, Julian
We study deformation theory of mod $p$ Galois representations of $p$-adic fields with values in generalised tori, such as $L$-groups of (possibly non-split) tori. We show that the corresponding deformation rings are formally smooth over a group algeb
Externí odkaz:
http://arxiv.org/abs/2404.14615
We show that crystalline points are Zariski dense in the deformation space of a representation of the absolute Galois group of a $p$-adic field. We also show that these points are dense in the subspace parameterizing deformations with determinant equ
Externí odkaz:
http://arxiv.org/abs/2206.06944
We bound the Gelfand-Kirillov dimension of unitary Banach space representations of $p$-adic reductive groups, whose locally analytic vectors afford an infinitesimal character. We use the bound to study Hecke eigenspaces in completed cohomology of Shi
Externí odkaz:
http://arxiv.org/abs/2201.12922
We show that framed deformation rings of mod $p$ representations of the absolute Galois group of a $p$-adic local field are complete intersections of expected dimension. We determine their irreducible components and show that they and their special f
Externí odkaz:
http://arxiv.org/abs/2110.01638
Autor:
Paškūnas, Vytautas, Tung, Shen-Ning
We establish Bernstein-centre type of results for the category of mod $p$ representations of $\mathrm{GL}_2(\mathbb{Q}_p)$. We treat all the remaining open cases, which occur when $p$ is $2$ or $3$. Our arguments carry over for all primes $p$. This a
Externí odkaz:
http://arxiv.org/abs/2104.08948
We associate infinitesimal characters to (twisted) families of $L$-parameters and $C$-parameters of $p$-adic reductive groups. We use the construction to study the action of the centre of the universal enveloping algebra on the locally analytic vecto
Externí odkaz:
http://arxiv.org/abs/2012.01041
Autor:
Emerton, Matthew, Paskunas, Vytautas
We study the Zariski closure of points in local deformation rings corresponding to potential semi-stable representations with certain prescribed $p$-adic Hodge theoretic properties. We show in favourable cases that the closure is equal to a union of
Externí odkaz:
http://arxiv.org/abs/1809.06598
Autor:
Paskunas, Vytautas
We prove some qualitative results about the $p$-adic Jacquet--Langlands correspondence defined by Scholze, in the $GL(2,Q_p)$, residually reducible case, by using a vanishing theorem proved by Judith Ludwig. In particular, we show that in the cases u
Externí odkaz:
http://arxiv.org/abs/1804.07567
Autor:
Hu, Yongquan, Paskunas, Vytautas
We prove that certain crystabelline deformation rings of two dimensional residual representations of $\mathrm{Gal}(\overline{\mathbb{Q}}_p/\mathbb{Q}_p)$ are Cohen-Macaulay. As a consequence, this allows to improve Kisin's $R[1/p]=\mathbb{T}[1/p]$ th
Externí odkaz:
http://arxiv.org/abs/1702.06019