搜索结果: 1-15 共查到“理学 p-Adic”相关记录39条 . 查询时间(0.098 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：P-adic Simpson correspondence via exponential twisting
指数扭曲 P—adic—Simpson对应 p-adic-Simpson对应关系
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2023/12/11
In this talk, I shall explain the work of G. Faltings on a p-adic Simpson correspondence, using exponential twisting. This reinterpretation of the correspondence makes clearer analogy between the p-ad...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The de Rham cohomology of p-adic formal schemes
p-adic形式方案 德拉姆 上同调
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2023/4/18
Discuss [Bha, §2.5-2.6]. Introduce objects in Definitions 2.5.1 and 2.5.3, and cover Theorem 2.5.6, Corollary 2.5.10, Corollary 2.6.8, and Corollary 2.6.11
This is a periodic series learning seminar ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Shimura varieties and p-adic geometry
志村变种 p-adic几何 代数几何空间 算术几何
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2023/4/28
Shimura varieties are a class of algebraic geometric spaces that play a very important role in arithmetic geometry, especially in the Langlands program. In recent years, methods from the geometric rep...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On open subgroups of p-adic algebraic groups
p-adic 代数群 开子群
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2023/5/5
In this talk, I will breifly introduce the p-aidc number, p-aidc manifolds, p-adic algebraic groups and p-aidc definable groups. Using an elementary method, I will show that every open subgroup of a c...
P-adic Hodge Theory and Automorphic Forms Workshop
P-adic Hodge Theory and Automorphic Workshop
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2017/1/10
This workshop will focus on recent developments in p-adic Hodge theory and automorphic forms, especially their interplay.
Asymptotics and local constancy of characters of p-adic groups
Quantitative theory constancy characters subgroups structure
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2015/8/25
In this paper we initiate a quantitative theory of trace characters of reductive p-adic groups when the representation varies. Our approach is based on the local constancy of characters and we su...
SPHERICAL UNITARY REPRESENTATIONS FOR SPLIT REAL AND P-ADIC GROUPS
UNITARY REPRESENTATIONS P-ADIC GROUPS
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2015/8/17
1.1. Positive de nite functions. We start with the classical notion of
positive de nite functions.
De nition. A continuous function f : R ! C is called positive de nite if
it satis es
(1...
ON THE MODULARITY OF ELLIPTIC CURVES OVER Q: WILD 3-ADIC EXERCISES.
Elliptic curve Galois representation modularity
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2015/7/6
with c 0 mod N and d p mod N. The operators Tp for p6 jN can be simultaneously diagonalised on
the space Sk(N) and a simultaneous eigenvector is called an eigenform. If f is an eigenform then the...
Integration on p-adic groups and Crystal bases
p-adic groups Crystal bases
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2015/7/6
Kashiwara de ned the notion of a crystal, and gave examples of crystal structures
associated with bases of representations of quantum groups. We recommend the
expository article Kashiwara [7], writt...
I-adic拓扑与希尔伯特basis定理的2个推论
I-adic拓扑 完备化 形式幂级数环 noetherian环
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2014/1/9
首先证明交换环关于I-adic拓扑诱导的完备化环是商环的有限投射极限，其次揭示Abel范畴noetherian对象与正合序列的关系，进而用范畴的方法给出希尔伯特basis定理的推论 ——noetherian环的I-adic拓扑完备化环R也是noetherian环的新证明，之后论证该推论与希尔伯特basis定理的另一推论是等价的.
On fields of totally $S$-adic numbers
fields totally $S$-adic numbers
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2012/2/29
Given a finite set $S$ of places of a number field, we prove that the field of totally $S$-adic algebraic numbers is not Hilbertian.
On the automorphy of $l$-adic Galois representations with small residual image
small residual image Galois representations Number Theory
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2011/9/23
Abstract: We prove new automorphy lifting theorems for essentially conjugate self-dual Galois representations into $GL_n$. Existing theorems require that the residual representation have 'big' image, ...
On $p$-adic Gibbs Measures for Hard Core Model on a Cayley Tree
Cayley trees hard core interaction Gibbs measures translation invariant measures periodic measures
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2011/9/20
Abstract: In this paper we consider a nearest-neighbor $p$-adic hard core (HC) model, with fugacity $\lambda$, on a homogeneous Cayley tree of order $k$ (with $k + 1$ neighbors). We focus on $p$-adic ...
Non-abelian $p$-adic $L$-functions and Eisenstein series of unitary groups; the CM method
Eisenstein series unitary groups the CM method Number Theory
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2011/8/26
Abstract: In this work we prove the so-called "torsion congruences" between abelian $p$-adic $L$-functions that are related to automorphic representations of definite unitary groups. These congruences...
Trivial zeros of p-adic L-functions at near central points
Trivial zeros p-adic L-functions central points Number Theory
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2011/8/26
Abstract: Using the $\scr L$-invariant constructed in our previous paper we prove a Mazur-Tate-teitelbaum style formula for derivatives of p-adic L-functions at near central points.