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Eknath
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11	LOCALLY INDECOMPOSABLE GALOIS REPRESENTATIONS EKNATH GHATE AND VINAYAK VATSAL Abstract. In [GV04] the authors showed that, under some technical conditions, the local Galois representations attached to the members of a no Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2013-03-26 03:00:56 Group theory Representation theory Algebraic number field Cyclotomic character Group representation Representation theory of finite groups Abstract algebra Algebra Algebraic number theory
12	ENDOMORPHISM ALGEBRAS OF MOTIVES ATTACHED TO ELLIPTIC MODULAR FORMS ALEXANDER F. BROWN AND EKNATH P. GHATE Abstract. We study the endomorphism algebra of the motive attached to a non-CM elliptic modular cusp form. We pro Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2008-07-04 05:32:46 Algebraic structures Group theory Analytic number theory Mathematical structures Endomorphism ring Representation theory Modular form Homomorphism Elliptic curve Abstract algebra Algebra Ring theory
13	(p, p)-GALOIS REPRESENTATIONS ATTACHED TO AUTOMORPHIC FORMS ON GLn EKNATH GHATE AND NARASIMHA KUMAR Abstract. We study the local reducibility at p of the p-adic Galois representation attached to a cuspidal automorphic re Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2011-11-01 06:31:16 Hodge theory Field theory Galois theory Number theory Galois module P-adic Hodge theory Weil group Algebraic number field Hodge structure Abstract algebra Algebra Algebraic number theory
14	Modular forms, p-adic Hodge Theory & Applications Adjoint Lifts and Modular Endomorphism Algebras Eknath Ghate Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2010-09-01 07:42:57 Analytic number theory Mathematics Cusp form Hecke operator Algebraic curves Petersson inner product Modular forms Mathematical analysis Complex analysis
15	Critical Values of the Twisted Tensor L-function in the Imaginary Quadratic Case Eknath Ghate January 11, [removed] Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2008-07-23 05:14:02 Analytic number theory Differential geometry Modular form Moduli theory Symbol Metric tensor Algebraic number field Motive Möbius transformation Abstract algebra Geometry Mathematical analysis
16	ADJOINT LIFTS AND MODULAR ENDOMORPHISM ALGEBRAS DEBARGHA BANERJEE AND EKNATH GHATE Abstract. We prove that the ramification of the endomorphism algebra of the Grothendieck motive attached to a non-CM cuspform of weight t Add to Reading List Source URL: www.math.tifr.res.in Language: English Algebraic geometry Field theory Valuation Representation theory Weight Symbol Orbifold Oscillator semigroup Abstract algebra Representation theory of Lie groups Lie algebras
17	Ordinary forms and their local Galois representations Eknath Ghate Abstract. We describe what is known about the local splitting behaviour of Galois representations attached to ordinary cuspidal eigenforms. We relate thi Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2005-06-28 06:18:24 Galois theory Field theory Analytic number theory Representation theory of Lie groups Frobenius endomorphism Modular form Algebraic number field P-adic number Finite field Abstract algebra Algebra Algebraic number theory
18	ON THE AVERAGE NUMBER OF OCTAHEDRAL NEWFORMS OF PRIME LEVEL MANJUL BHARGAVA AND EKNATH GHATE Abstract. We show that, on average, the number of octahedral newforms of prime level is bounded by a constant. Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2014-07-07 01:59:29 Artin L-function Class field theory Algebraic number theory Algebraic number field Group Representation theory of finite groups Abstract algebra Algebra Mathematics
19	Vandiver’s Conjecture via K-theory Summer School on Cyclotomic fields, Pune, June 7-30, 1999 Eknath Ghate 1 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2008-06-16 05:32:34 Algebraic number field Algebraic number theory Abelian group Étale cohomology Algebraic K-theory Hurewicz theorem Abstract algebra Algebra Field theory
20	Λ-ADIC FORMS AND THE IWASAWA MAIN CONJECTURE DEBARGHA BANERJEE, V.G. NARASIMHA KUMAR CH, AND EKNATH GHATE Advanced Instructional School on Arithmetic Geometry September 22-30, 2008, IIT Guwahati1 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2010-05-19 05:36:26 Algebraic number theory Field theory Galois theory P-adic L-function P-adic number Cyclotomic character Symbol Iwasawa theory Dirichlet character Abstract algebra Mathematics Algebra

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