on a smooth rigid analytic variety X over a p-adic field to the category of vector bundles with an integrable connection on its “base change to {\mathrm {B}}_{{\text {dR}}}”, which can be regarded as a first step towards the sought-after p-adic Riemann–Hilbert correspondence. As...
Simpson correspondence/ non-abelian hodge/ p-adic hodge / p-adic nonabelian hodge√ 他们分别是: p-adic version的辛普森对应√ 古典辛普森对应(i.e. over C的分析) 古典辛普森对应(i.e. over C的分析) p-adic version的Hodge理论 p-adic version的辛普森对应√ 另:Simpson correspondence = non-abelian ...
这个结果基本上就是Abel-Jacobi theory的现代形象. 当然你说Riemann-Hilbert correspondence的一个版本也没...
deriveddeRhamcohomologyh-topologyThe article considers another construction of the p-adic period map using the de Rham cohomology of Illusie and de Jong's alterations in a bid to understand the Riemann-Hilbert correspondence in this setting. Information on the derived de Rham algebra is provided,...
KEDLAYA_ AN OVERVIEW OF THE $P$-ADIC LOCAL LANGLANDS CORRESPONDENCE 1:01:01 The sup norm problem in small I-adic 1:19:37 WILL SAWIN_ THE SUP-NORM PROBLEM FOR AUTOMORPHIC FORMS OVER FUNCTION FIELDS 1:00:55 IAN PETROW_ THE WEYL BOUND FOR DIRICHLET $L$-FUNCTIONS 1:04:11 VALENTIN ...
This constitutes a moduli-theoretic improvement of the small p p -adic Simpson correspondence of Faltings, Abbes-Gros, Tsuji and Wang. Our construction is based on the Hodge-Tate stack of Bhatt-Lurie. We also prove an analogous correspondence in the arithmetic setting of rigid spaces of good ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars Speaker: 许大昕, California Institute of Technology Inviter: Title: Parallel Transport and P-adic Simpson Correspondence Time & Venue: 2019.7.23 10:00-11:00 N224 Abstract: Deninger and Werner developed an analogue for p-adic...
Mathematicshttps://arxiv.org/abs/1606.03256, 2016. [Prasad] Dipendra Prasad. Notes on modular representations of p-adic groups, and the LanglandsD. Prasad, Notes on modular representations of p-adic groups and the Langlands correspondence, 2010....
.Thep-adicharmonicoscillator potentialallowustodetermineaone-to-onecorrespondencebetween theamplitudesofoscillationsa n (andphases)withtheimaginary partsofthezeroesofzetaλ n ,aftersolvingtheinversescattering problem. TheRiemannconjecturethatthenontrivialzeroesofthezetafunctionlie ontheverticallinez=1/2+iyofthe...
对于一个刚性解析簇X(就是p-adic版本的复解析簇)而言,它上面有很多种拓扑。最简单就是(1)解析(analytic)拓扑,这个拓扑和复几何很类似,就是相当于把X看成许许多多单位圆盘的粘合,拓扑就是由单位圆盘上的开圆盘生成的拓扑。稍微复杂一点的就是所谓的(2)etale拓扑,据说这方面的知识是时下数学系本科生的标配,所以...