Geometric aspects of p-adic hodge theory

Author: lmae

August undefined, 2024

WebMy work predominantly explores the p -adic and geometric aspects of the Langlands program and is highly interdisciplinary, involving number theory, arithmetic geometry, algebraic geometry, p -adic analytic geometry, D -module theory, p -adic Hodge theory, motive theory and higher category theory. p-adic Automorphic Forms. A. Paulin. Web3. Geometric background for a p-adic replica argument The survey of the complex geometry aspects of the replica argument provided in the previous section shows that the main ingredients that are needed for con-structing a p-adic analog are A p-adic theory of cyclic orbifold coverings X nand uniformization. A p-adic analog of the period matrix ...

Chao Li

WebMar 5, 2024 · MSC Classification Codes. 00-xx: General. 00-01: Instructional exposition (textbooks, tutorial papers, etc.) 00-02: Research exposition (monographs, survey articles ... WebMAT 549 Topics in Algebra: Geometric Aspects of p-adic Hodge Theory This course covers some recent work on recasting concepts in p-adic Hodge theory in the language … blended learning math classroom

Geometric aspects of p-adic Hodge theory (M16) - University of …

Web1. A rst glimpse of p-adic Hodge theory Our goal in this section is to give a rough idea of what p-adic Hodge theory is about. By nature, p-adic Hodge theory has two sides of the story, namely the arithmetic side and the geometric side. We will brie y motivate and describe each side of the story, and discuss how the two sides are related. 1.1. http://math.stanford.edu/~conrad/ WebIn this volume, Perrin-Riou presents a theory of p-adic L-functions coming directly from p-adic Galois representations (or, more generally, from motives). This theory encompasses, in particular, a construction of the module of p-adic L-functions via the arithmetic theory and a conjectural deﬁnition of the p-adic L-function via its special values. blended learning:let\u0027s get beyond the hype

Roadmap for p-adic Hodge theory - MathOverflow

Aspects of p-adic geometry related to entanglement entropy

WebJan 13, 2024 · Geometric and Representation Theoretic Aspects of -adic Motives Xin Tong In this dissertation, we discuss mainly the corresponding geometric and representation … WebApr 1, 2024 · Abstract. We prove that any geometrically irreducible ¯¯¯¯Qp Q ‾ p -local system on a smooth algebraic variety over a p -adic field K becomes de Rham after a twist by a character of the Galois group of K. In particular, for any geometrically irreducible ¯¯¯¯Qp Q ‾ p -local system on a smooth variety over a number field the ... blended learning math programsWebJun 13, 2024 · 350 8. 3. You could look at Scholze's course, fixing the gaps along the way instead of learning them "bottom-up". – Z. M. Jun 13, 2024 at 7:41. 4. Dan Gulotta has given a course on p-adic Hodge theory a couple years ago, and he did cover aspects of the Fargues-Fontaine curve that you seem to be interested in. fraternal order of police sterling heights mi

"WebGEOMETRIC DESCRIPTION OF PERIOD RINGS GAL PORAT Abstract. These are notes which aim to give a short summary of the geometric description of some of the various … " - Geometric aspects of p-adic hodge theory

Geometric aspects of p-adic hodge theory

Prismatic Cohomology - University of Chicago

WebIn the p-adic case, the IHT of an abelian variety essentially amounts to the p-adic Hodge theory of H1 of the abelian variety. Although the p-adic Hodge theory of H1 of an abelian variety has many diﬀerent aspects, most of these may be traced to the fundamental paper of Tate ([Tate]) in the late 1960’s. In this paper, the main theorem WebP-adic methods in number theory and algebraic geometry / Alan Adolphson, Steven Sperber, Marvin Tretkoff, editors. ... P-adic Hodge theory / Published: (2024) Geometric aspects of Dwork theory / Published: (2004) p-adic numbers an introduction / by: Gouvêa, Fernando Q. Published ...

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WebIn mathematics, p-adic Hodge theory is a theory that provides a way to classify and study p-adic Galois representations of characteristic 0 local fields with residual … WebMar 21, 2010 · Using p-adic analysis, Dwork was the first to prove the rationality of the zeta function of a variety over a finite field. From what I have seen, in algebraic geometry, this method is not used much and Grothendieck's methods are used instead. Is this because it is felt that Dwork's method is not general or powerful enough; for example, Deligne ...

WebTowards Non Abelian P Adic Hodge Theory In The Good Reduction Case. Download Towards Non Abelian P Adic Hodge Theory In The Good Reduction Case full books in PDF, epub, and Kindle. Read online free Towards Non Abelian P Adic Hodge Theory In The Good Reduction Case ebook anywhere anytime directly on your device. Fast … WebOct 12, 2002 · An introduction to the theory of p-adic representations Laurent Berger The purpose of this informal article is to introduce the reader to some of the objects and …

WebSep 1, 2015 · This program focuses on different aspects of Hodge theory, their applications in algebraic geometry and related areas and, very importantly, on their interactions. We plan to cover the following four themes: (1) p-adic Hodge theory and arithmetic geometry (2) mixed Hodge modules and their applications Web2.Hodge-Tatedecompositionforabelianvarietieswithgoodreduction 3.Hodge-Tatedecompositioningenerale(pro-étalecohomology) 4.integralaspects …

WebBrian Conrad. Professor. Department of Mathematics. Stanford University. Building 380, Sloan Hall. Stanford, CA 94305, USA. office: 383CC, Sloan Hall. My mathematical work is supported by NSF grant DMS-1100784. …

WebThe initial motivation of p-adic Hodge theory is the will to design a relevant p-adic analogue of the notion of periods. To this end, our ﬁrst need is to ﬁnd a suitable p-adic generalization of the isomorphism (1). In the p-adic setting, the singular cohomology is no longer relevant; it has to be replaced by the etale cohomology. fraternal order of the eagles bylawsWebGEOMETRIC DESCRIPTION OF PERIOD RINGS GAL PORAT Abstract. These are notes which aim to give a short summary of the geometric description of some of the various period rings appearing in p-adic Hodge theory. For a more thorough discussion see Scholze and Weinstein’s Berkeley notes. Our notation … fraternal order of the mooseWebMay 8, 2024 · A p-Adic 6-Functor Formalism in Rigid-Analytic Geometry Using the recently developed condensed mathematics by Clausen-Scholze we construct a full p-adic 6 … fraternal order since 1868 crosswordWebNov 18, 2024 · The goal of this work is to study some aspects of the geometry of the ﬁrst cover Σ 1 in the Drinfeld tower over H dK the Drinfeld symmetric space over K a ﬁnite extension of Q p . ... 2024; Via the relative fundamental exact sequence of p-adic Hodge theory, we determine the geometric p-adic pro-étale cohomology of the Drinfeld … blended learning mental health nursingWebIn particular I am studying how the new geometric reformulation of p-adic Hodge theory by Fargues and Fontaine is related to the correspondence. The third branch of my research involves the p-adic aspects of the geometric Langlands program. This is a geometric reformulation of Langlands’ original ideas, so they are applicable blended learning nachteilehttp://www-personal.umich.edu/~serinh/Notes%20on%20p-adic%20Hodge%20theory.pdf blended learning nauWebMar 6, 2024 · In mathematics, p-adic Hodge theory is a theory that provides a way to classify and study p-adic Galois representations of characteristic 0 local fields with residual characteristic p (such as Q p).The theory has its beginnings in Jean-Pierre Serre and John Tate's study of Tate modules of abelian varieties and the notion of Hodge–Tate … fraternal order of the redman