Search Results - Number theory Algebraic number theory: local and $p$-adic fields

p-adic analysis, arithmetic and singularities : UIMP-RSME Lluís A. Santaló Summer School, p-Adic Analysis, Arithmetic and Singularities, June 24-28, 2019, Universidad Internacional Menéndez Pelayo, Santander, Spain by UIMP-RSME Santaló Summer School, Galindo, Carlos, Melle-Hernández, Alejandro, Moyano-Fernández, Julio José, Zúñiga-Galindo, Wilson A.

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Hypergeometric functions over finite fields by Fuselier, Jenny, Long, Ling, Ramakrishna, Ravi Kumar, Swisher, Holly, Tu, Fang-Ting

“… As an application, we obtain a few finite field analogues of algebraic hypergeometric identities, quadratic and higher transformation formulas, and evaluation formulas. We further apply these finite field formulas to compute the number of rational points of certain hypergeometric varieties…”
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SPHERICAL UNITARY REPRESENTATIONS OF GENERAL LINEAR GROUPS OVER LOCAL FIELDS (LIE GROUPS, P-ADIC, SPHERICAL FUNCTIONS, NUMBER THEORY) by SAHI, SIDDHARTHA

“…(n) over other local fields and over division algebras (over these fields), but these cases are not dealt with explicitly. For GL(n, (,p…”
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Advances in ultrametric analysis : 14th International Conference, p-adic Functional Analysis, June 30-July 4, 2016, Université d'Auvergne, Aurillac, France by International Conference on P-adic Functional Analysis, Escassut, Alain, Perez-Garcia, C., Shamseddine, Khodr

“… operators and Schatten-class operators in p -adic Hilbert spaces, algebras of strictly differentiable functions, inverse function theorem and mean value theorem in Levi-Civita fields, ultrametric…”
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Interactions between hyperbolic geometry, quantum topology and number theory : Workshop June 3-13, 2009, Conference June 15-19, 2009, Columbia University, New York, NY by Workshop on Interactions between Hyperbolic Geometry, Quantum Topology and Number Theory, Champanerkar, Abhijit

“…This book is based on a 10-day workshop given by leading experts in hyperbolic geometry, quantum topology and number theory, in June 2009 at Columbia University…”
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Advances in non-Archimedean analysis : 11th International Conference p-adic Functional Analysis, July 5-9, 2010, Université Blaise Pascal, Clermont-Ferrand, France by International Conference on P-adic Functional Analysis, Araujo-Gomez, Jesus, Diarra, B. (Bertin), Escassut, Alain

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Advances in Ultrametric Analysis by Escassut, Alain, Perez-Garcia, Cristina, Shamseddine, Khodr

“… the spaces, p-adic Nevanlinna theory and applications, and sub-coordinate representation of p-adic functions…”
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Around Langlands correspondences : international conference Around Langlands Correspondences, June 17-20, 2015, Université Paris Sud, Orsay, France by Brumley, Farrell, Gomez Aparicio, Maria Paula, Mínguez, Alberto, Around Langlands Correspondences

“… conjecture.The aim of this volume is to present, through a mix of research and expository articles, some of the fascinating new directions in number theory and representation theory arising from recent…”
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Advances in ultrametric analysis : 12th International Conference p-adic Functional Analysis, July 2-6, 2012, University of Manitoba, Winnipeg, Canada by International Conference on P-adic Functional Analysis, Shamseddine, Khodr

“… ideals of finite dimension, the $p$-adic $q$-distributions, Banach spaces over fields with an infinite rank valuation, Grobman-Hartman theorems for diffeomorphisms…”
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Feynman amplitudes, periods and motives : international research workshop, periods and motives - a modern perspective on renormalization, July 2-6, 2012, Instituto de Ciencias Matemáticas, Madrid, Spain by Periods and Motives (Workshop), Álvarez-Cónsul, Luis, Burgos Gil, José Ignacio, Ebrahimi-Fard, Kurusch

“… They form a central part of perturbative quantum field theory, where they appear as coefficients of power series expansions of probability amplitudes for physical processes…”
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Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples by Cunningham, Clifton, Fiori, Andrew, Moussaoui, Ahmed, Mracek, James, Xu, Bin

“…View the abstract…”
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Syntomic complexes and p-adic nearby cycles by Colmez, Pierre, Nizioł, Wiesława

“… For a semistable scheme over a mixed characteristic local ring this implies a comparison isomorphism, up to some universal constants, between truncated sheaves of p -adic nearby cycles and syntomic cohomology sheaves…”
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Unitarizability in Corank Three for Classical $p$-Adic Groups by Tadic, Marko

“…View the abstract…”
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p-adic étale cohomology of period domains by Colmez, Pierre, Dospinescu, Gabriel, Hauseux, Julien, Nizioł, Wiesława

“…We compute the p -torsion and p -adic étale cohomologies with compact support of period domains over local fields in the case of basic isocrystals for quasi-split reductive groups…”
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Harmonic analysis on reductive, p-adic groups : AMS special session on harmonic analysis and representations of reductive, p-adic groups, January 16, 2010, San Francisco, CA by AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, Doran, Robert S., Sally, Paul, Spice, Loren

“…$-adic Groups, which was held on January 16, 2010, in San Francisco, California. One of the original guiding philosophies of harmonic analysis on $p…”
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Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms by Hatada, Kazuyuki

“…Let…”
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Regulators : Regulators III Conference, July 12-22, 2010, Barcelona, Spain by Regulators, Burgos Gil, José Ignacio

“… It is a very intricate subject that thrives on its interaction with algebraic K-theory, arithmetic geometry, number theory, motivic cohomology, Hodge theory and mathematical physics…”
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Stark points and the Hida–Rankin p-adic L-function by Casazza, Daniele, Rotger, Victor

“…This article is devoted to the elliptic Stark conjecture formulated by Darmon (Forum Math Pi 3:e8, 2015 ), which proposes a formula for the transcendental part of a p -adic avatar of the leading term…”
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The p-adic Simpson Correspondence (AM-193) by Abbes, Ahmed, Gros, Michel, Tsuji, Takeshi

“…The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra…”
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AN ALGEBRAIC-METRIC EQUIVALENCE RELATION OVER p-ADIC FIELDS by VÂJÂITU, MARIAN, ZAHARESCU, ALEXANDRU

“…Let p be a prime number, Qp the field of p-adic numbers, K a finite field extension of Qp, K a fixed algebraic closure of K and Cp the completion of K with respect to the p-adic valuation…”
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