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### A BRIEF INTODUCTION TO ADIC SPACES - Stanford …

2018-3-15 · A BRIEF INTODUCTION TO ADIC SPACES BRIAN CONRAD 1. Valuation spectra and Huber/Tate rings 1.1. Introduction. Although we begin the oral lectures with a crash course on some basic high-lights from rigid-analytic geometry in the sense of Tate, some awareness of those ideas is taken as

### 会社情報 | ADIC - 合同会社 監査D&Iコンソーシアム

2020-3-25 · p -adic absolute value to algebraic extensions of QP, constructing the p -adic analogue of the complex numbers, and developing the theory of p-adic power series. The treatment highlights analogies and contrasts with the familiar con­ cepts and examples from calculus. The second main application, in Chapter V, is

### The p-adic numbers - University of Pittsburgh

2019-12-5 · The p-adic numbers are most simply a eld extension of Q, the rational numbers, which can be formulated in two ways, using either analytic or algebraic methods. The material presented in this chapter will be largely based upon that of Gouv^ea [1] and Baker [2]. 1.1 An analytic approach We begin by recalling the notion of a metric space: De ...

### 2-adic Integers | Visual Insight

2014-10-1 · 2-adic Integers. This image created by Christopher Culter shows the compact abelian group of 2-adic integers (black points), with selected elements labeled by the corresponding character on the Pontryagin dual group (colored discs). The Pontryagin dual of the group of 2-adic integers is the Prüfer 2-group Z(2∞) Z ( 2 ∞). See our earlier ...

### Some recent developments in p-adic motivic cohomology_ …

2021-2-23 · We will introduce the motivic filtration on topological cyclic homology, whose graded pieces provide a general theory of p-adic étale motivic cohomology, and discuss its finer properties, comparisons to existing invariants, and prismatic interpretation.

2021-6-23 · 设k和n为非负整数, 第二类Stirling数表示将n个元素划分为恰好k个非空集合的个数, 记为S(n,k). 对任意给定的素数p和正整数n, 存在惟一的整数a和m, 且m≥0使得n=ap^m, 其中(a,p)=1 (a与p互素). m称为n的p-adic赋值, 并记v_p(n)=m. 第二类Stirling数的p ...

### “计算机辅助设计国家地方联合工程实验室”建设获批-先进设计 ...

2015-4-24 · 日前，从《国家发展改革委关于2014年度国家地方联合工程研究中心（工程实验室）的批复》（发改高技[2015]581号）中获悉，由我校牵头，以我校为主要依托单位，与大连理工大学联合申报的“计算机辅助设计国家地方联合工程实验室”建设项目获批。

### ADIC - Military and Government - Acronym Finder

Assistant Director in Charge (US FBI) ADIC. Aerospace Defense Intelligence Center. ADIC. Air Defense Intelligence Center. ADIC. AFSCF Development Integration Committee. showing only Military and Government definitions ( show all 9 definitions) Note: We have 23 other definitions for ADIC in our Acronym Attic.

2022-3-7 · Ruochuan Liu. 78304 Jing Chun Yuan. Beijing International Center for Mathematical Research. Peking University. Beijing, 100871. E-mail: liuruochuan [at]math [dot]pku [dot]edu [dot]cn Research Interests: My current research focuses on p-adic aspects of number theory. and arithmetic geometry, especially p-adic Hodge theory, p-adic automorphic ...

2013-4-10 · p-adic 整数 和 p-adic 数 郝克刚 2013.04.10. 本文是前面一篇文章 [2] 的续篇。 前文介绍了 p-adic 整数及其上的加法、减法和乘法运算。 这些运算构成了一个可换环。即加法和乘法满足交换律、结合律和分配律，减法是加法的逆运算，存在零元和么元 ...

### CHAPTER 3. p-ADIC INTEGRATION Contents

2020-10-1 · 1. Basics on p-adic fields We will rst look at di erent approaches to constructing the p-adic integers Z p and the p-adic numbers Q p, as well as more general rings of integers in p-adic elds, and recall some of their basic properties. I highly recommend [Ne] Chapter II for a detailed discussion of this topic. p-adic numbers. Let pbe a prime ...

### Perfectoid Space and p-adic Hodge Theory - - 北京国际数 …

2021-10-26 · Perfectoid Space and p-adic Hodge Theory. Time: 10:00-11:30, 12:30-14:00 9/22, 9/29, 10/13, 10/20, 10/27 (online) This short course is an introduction to the perfectoid space theory and its applications to p-adic Hodge theory following Scholze. We will …

### -adic Representations - University of California, Berkeley

2016-10-26 · Deﬁnition. Let r: GK!GLn Q ‘ be an ‘-adic representation. r is unramiﬁed or has good reduction if r(IK) = fidg. r has potentially good reduction if r(IK) is ﬁnite, or equivalently, if there is a ﬁnite extension K ˆK0ˆKsep so that rj G K0 has good reduction. r is semi-stable if r(IK) is unipotent, or equivalently, if the semi-simpliﬁcation of r has good ...

### [1602.03148] Integral p-adic Hodge theory - arXiv

2016-2-9 · We construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of C_p. It takes values in a mixed-characteristic analogue of Dieudonne modules, which was previously defined by Fargues as a version of Breuil-Kisin modules. Notably, this cohomology theory specializes to all other known p-adic cohomology theories, such as …

### Notes on p-adic Hodge theory - University of Michigan

2020-6-24 · 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. The arithmetic perspective From the arithmetic perspective, p-adic Hodge theory is the study of p-adic Galois rep-

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2018-10-10 · p-ADIC GEOMETRY PETER SCHOLZE Abstract. We discuss recent developments in p-adic geometry, ranging from foundational results such as the degeneration of the Hodge-to-de Rham spectral sequence for “compact p-adic manifolds” over new period maps on moduli spaces of abelian varieties to applications to the local and global Langlands

### -adic Hodge Theory - Massachusetts Institute of …

2020-3-13 · 2 p-adic Hodge Theory 2.1 Hodge-Tate decomposition p-adic Hodge theory is about an analogue of these results for manifolds over p- adic ﬁelds (discretely valued, complete non-archimedean extension of Q p with perfect residue ﬁeld k) instead of C (e.g. a ﬁnite extension of Q p; the important thing is that the residue ﬁeld be perfect).

2000-12-7 · A ﬁrst introduction to p-adic numbers David A. Madore Revised 7th december 2000 In all that follows, pwill stand for a prime number. N, Z, Q, Rand Care the sets of respectively the natural numbers (i.e. non negative integers), integers, rational numbers, reals …

### mysql cmd 删除数据库命令大全_CMD命令操作MySql数据库 ...

2021-1-19 · mysql cmd常用命令mysql cmd常用命令有以下命令：将mysql目录下bin目录中的mysql.exe放到C:\WINDOWS下，可以执行以下命令连接：mysql-h主机地址 -u用户名 －p用户密码 (注:u与root可以不用加空格，其它也一样)断开：exit (回车)创建授权：grant select on 数据库.* to 用户名登录主机 identified by \"密码...