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class field theory
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131	Sage Reference Manual: Algebraic Number Fields Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:20 Field theory Algebraic number field Sage Cyclotomic field Tensor product of fields Ideal class group Exponentiation Field extension Quadratic field Abstract algebra Algebra Algebraic number theory
132	IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 51, NO. 7, JULY[removed]A New Class of Upper Bounds on the Log Partition Function Add to Reading List Source URL: www.eecs.berkeley.edu Language: English - Date: 2005-08-15 12:26:48 Spanning tree Graphical models Probability theory Minimum spanning tree NP-complete problems Belief propagation Tree decomposition Connectivity Markov random field Graph theory Mathematics Theoretical computer science
133	S´eminaire BOURBAKI 61`eme ann´ee, [removed], no 1010 Juin[removed]GAUGE THEORY AND LANGLANDS DUALITY Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2011-11-25 17:24:58 Automorphic forms Class field theory Representation theory of Lie groups Algebraic number theory Conjectures Langlands program Langlands dual Weil group Representation theory Abstract algebra Mathematics Algebra
134	Clay Mathematics Proceedings Volume 13, 2011 Icosahedral Fibres of the Symmetric Cube and Algebraicity Dinakar Ramakrishnan To Freydoon Shahidi, on the occasion of his sixtieth birthday Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2012-07-30 18:49:34 Automorphic forms Langlands program Representation theory of Lie groups Class field theory Conjectures Cuspidal representation Local Langlands conjectures Multiplicity-one theorem Automorphic L-function Abstract algebra Mathematics Algebra
135	MODULARITY OF SOLVABLE ARTIN REPRESENTATIONS OF GO(4)-TYPE DINAKAR RAMAKRISHNAN To my teacher, Herv´e Jacquet Introduction Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-06-20 18:52:18 Automorphic forms Representation theory of Lie groups Class field theory Conjectures Langlands program Local Langlands conjectures Artin L-function Induced representation Langlands–Shahidi method Abstract algebra Mathematics Algebra
136	REMARKS ON THE SYMMETRIC POWERS OF CUSP FORMS ON GL(2) DINAKAR RAMAKRISHNAN To Steve Gelbart On the occasion of his sixtieth birthday Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2009-07-13 15:36:06 Automorphic forms Conjectures Representation theory of Lie groups Class field theory Langlands program Local Langlands conjectures Cuspidal representation Artin L-function Rankin–Selberg method Abstract algebra Mathematics Algebra
137	Irreducibility and cuspidality Dinakar Ramakrishnan∗ Introduction Irreducible representations are the building blocks of general, semisimple Galois representations ρ, and cuspidal representations are the building bloc Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2006-09-12 17:41:35 Representation theory Automorphic forms Number theory Class field theory Cuspidal representation Admissible representation Tate twist Frobenius endomorphism Group representation Abstract algebra Algebra Representation theory of Lie groups
138	A DESCENT CRITERION FOR ISOBARIC REPRESENTATIONS Dinakar Ramakrishnan This will appear as an appendix to the paper Functoriality for the exterior square of GL4 and the symmetric fourth of GL2 ([K]) by Henry Kim. The obje Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2002-03-14 15:17:40 Automorphic forms Multiplicity-one theorem Representation theory of Lie groups Langlands program Class field theory Conjectures Gelfand pair Abstract algebra Mathematics Representation theory
139	Automorphic Representations and L-Functions Editors: D. Prasad, C.S. Rajan, A. Sankaranarayanan, J. Sengupta c Copyright 2013 Tata Institute of Fundamental Research Publisher: Hindustan Book Agency, New Delhi, India Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2013-03-17 11:41:39 Automorphic forms Class field theory Representation theory of Lie groups Conjectures Langlands program Multiplicity-one theorem Representation theory Langlands–Shahidi method Singly and doubly even Abstract algebra Mathematics Algebra
140	WINTER 2013 \| VOLUME 12:3 FIELDS NOTES THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2013-04-03 12:03:42 Automorphic forms Representation theory of Lie groups Langlands program Class field theory Conjectures Robert Langlands Edward Frenkel Local Langlands conjectures Fundamental lemma Abstract algebra Mathematics Algebra

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