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# Non-abelian fundamental groups and Iwasawa theory in.

Non-abelian Fundamental Groups and Iwasawa Theory presents the state of the art in theorems, conjectures and speculations that point the way towards a new synthesis, an as-yet-undiscovered unified theory of non-abelian arithmetic geometry. Non-abelian Fundamental Groups and Iwasawa Theory. John Coates. Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa theory and anabelian geometry. In the second half of 2009, experts from each of these three areas gathered at the Isaac Newton Institute in Cambridge to explain the latest. Non-abelian Fundamental Groups and Iwasawa Theory presents the state of the art in theorems, conjectures and speculations that point the way towards a new synthesis, an as-yet-undiscovered unified theory of non-abelian arithmetic geometry. source: Nielsen Book Data. LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor: Professor M. Reid, Mathematics Institute,. 393 Non-abelian fundamental groups and Iwasawa theory, J. COATES et al eds. London Mathematical Society Lecture Note Series: 437 Dynamics and Analytic Number Theory.

Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa theory and anabelian geometry. In the second half of 2009, experts from each of these three areas gathered at the Isaac Newton Institute in Cambridge to explain the latest advances in their research and to. LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor: Professor M. Reid, Mathematics Institute, University of Warwick, Coventry CV4 7AL,. 393 Non-abelian fundamental groups and Iwasawa theory, J. COATES, et al. London Mathematical Society Lecture Note Series: 411 Moduli Spaces Edited by LETICIA BRAMBILA-PAZ.

LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor: Professor M. Reid, Mathematics Institute,. 393 Non-abelian fundamental groups and Iwasawa theory, J. COATES et al. London Mathematical Society Lecture Note Series: 450 Partial Differential Equations arising from. LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor: Professor M. Reid, Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom. 393 Non-abelian fundamental groups and Iwasawa theory, J. COATES et al. eds. London Mathematical Society lecture note series; 412 ISBN 978-1-107-63322-3 pbk. 1. Nov 12, 2014 · In: Non-abelian Fundamental Groups and Iwasawa Theory. London Mathematical Society Lecture Note Series, vol. 393, pp. 258–310. Cambridge University Press, Cambridge/New York 2012 Google Scholar. May 27, 2020 · Calegari, F. and Emerton, M., Completed cohomology—a survey, in Non-abelian Fundamental Groups and Iwasawa Theory, London Mathematical Society Lecture Note Series, Volume 393, pp. 239 – 257 Cambridge University Press, Cambridge, 2012. 18. with M. Emerton Non-abelian Fundamental Groups and Iwasawa Theory, London Math. Soc. Lecture Note Ser., 393, 239–257, CUP. Mod-p Cohomology Growth in p-adic Analytic Towers of 3-Manifolds. with M. Emerton Groups, Geometry and Dynamics, 5 2011, no. 2, 355-366, Volume in honour of Fritz Grunewald.

Get this from a library! Non-abelian Fundamental Groups and Iwasawa Theory. [John Coates; Minhyong Kim; Florian Pop; Mohamed Saïdi; Peter Schneider] -- Displays the intricate interplay between different foundations of non-commutative number theory. Iwasawa Theory, projective modules, and modular representations About this Title. Ralph Greenberg, Department of Mathematics, University of Washington, Seattle, Washington 98195-4350. Publication: Memoirs of the American Mathematical Society Publication Year: 2011; Volume 211, Number 992. Non-abelian Fundamental Groups and Iwasawa Theory presents the state of the art in theorems, conjectures and speculations that point the way towards a new synthesis, an as-yet-undiscovered unified theory of non-abelian arithmetic geometry"-- Read more. NEW GEOMETRIC TECHNIQUES IN NUMBER THEORY MSRI Summer Graduate School July 112, 2013 [BLGG13] T. Barnet-Lamb, T. Gee, and D. Geraghty, Serre weights for rank two unitary groups. Dec 23, 2019 · [8] Calegari, F. and Emerton, M., ‘ Completed cohomology—a survey ’, in Non-abelian Fundamental Groups and Iwasawa Theory, London Mathematical Society Lecture Note Series, 393 Cambridge University Press, Cambridge, 2012, 239 – 257.

Series; J - M; London Mathematical. London Mathematical. Series Monográficas: London Mathematical Society lecture note series. Non-abelian fundamental groups in Iwasawa theory QA247 N64. Vol. 367 Blower, Gordon Random matrices: high dimensional phenomena QA188 B56. Non-abelian p-adic L-functions and Eisenstein series of unitary groups – The CM method [ L-fonctions p-adiques non-abéliennes et série d’Eisenstein pour les groupes unitaires – La méthode CM ] Bouganis, Thanasis. Annales de l'Institut Fourier, Tome 64 2014 no. 2, pp. 793-891. The motivation is that this is the simplest non-abelian p-adic Lie extension to which the conjectures of non-commutative Iwasawa theory apply. Assume that E has good ordinary reduction at p. For Artin representations τ of ⁠, the authors of [ 9, 22 ] have proposed precise modifications of the L -values L E, τ, 1, that are supposed to.

Galois theory and Diophantine geometry. Non-abelian fundamental groups and Iwasawa theory, 162187, London Math. Soc. Lecture Note Ser., 393, Cambridge Univ. Press, Cambridge 2012. Diophantine geometry and non-abelian reciprocity laws I. Elliptic curves, modular. In this paper, we compare the Akashi series of the Pontryagin dual of the Selmer groups of two Galois representations over a strongly admissible p-adic Lie extension. Namely, we show that whenever. On Galois rigidity of fundamental groups of algebraic curves Hiroaki Nakamura This article has appeared in Non-abelian Fundamental Groups and Iwasawa Theory, J.Coates, M.Kim, F.Pop, M.Sa di, P.Schneider eds. London Mathematcial Society Lecture Note Series, Vol. 393 2012, pp. 5671. Published by Cambridge University Press.

We generalize a result of Emerton on the relationship between unitary completions of locally Qp-analytic and locally Qp-algebraic principal series representations induced from certain locally Qp-al. Jan 16, 2017 · Abstract. Let p be an odd prime and let G be a p-adic Lie group.The group \K_1\Lambda G\, for the Iwasawa algebra \\Lambda G\, is well understood in terms of congruences between elements of Iwasawa algebras of abelian sub-quotients of G due to the work of Ritter-Weiss and Kato generalised by the author. In the former one needs to work with all abelian. F. Calegari and M. Emerton, Completed cohomology — a survey, in Non-abelian Fundamental Groups and Iwasawa Theory, London Mathematical Society Lecture Note Series.

$\mathfrakp$-rigidity and Iwasawa $\mu$-invariants Burungale, Ashay and Hida, Haruzo, Algebra & Number Theory, 2017; A cup product in the Galois cohomology of number fields McCallum, William G. and Sharifi, Romyar T., Duke Mathematical Journal, 2003; Zeta functions of $\mathbb F_1$-buildings DEITMAR, Anton and KANG, Ming-Hsuan, Journal of the Mathematical Society of Japan, 2016. Fusion Systems in Algebra and Topology London Mathematical Society Lecture Note Series. Non-abelian Fundamental Groups and Iwasawa Theory London Mathematical Society Lecture Note Series John Coates Editor, Minhyong Kim Editor, Florian Pop Editor, Mohamed Saïdi Editor. Saidi M, Coates J, Kim M, Pop F, Schneider P. 2011 Non abelian fundamental groups and Iwasawa theory, London Mathematical Society Lecture Notes Series. 2009 Saidi M, Tamagawa A. 2009 On the Anabelian Geometry of Hyperbolic Curves over Finite Fields, RIMS Kokyuroku Bessatsu,.

Nov 17, 2015 · This note explains some of the author’s work on understanding the torsion appearing in the cohomology of locally symmetric spaces such as arithmetic hyperbolic 3-manifolds. The key technical tool was a theory of Shimura varieties with infinite level at p: As p -adic analytic spaces, they are perfectoid, and admit a new kind of period map.