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Group field theory
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331	CONGRUENT NUMBERS, ELLIPTIC CURVES, AND MODULAR FORMS GUY HENNIART 1. Invitation to the voyage An integer n ≥ 1 is called congruent if it is the area of a right triangle Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:29 Analytic number theory Number theory Group theory Elliptic curve Modular forms Finite fields Birch and Swinnerton-Dyer conjecture Algebraic number field Complex multiplication Abstract algebra Mathematics Mathematical analysis
332	Asymptotically safe Quantum Gravity Nonperturbative renormalizability and fractal space-times Frank Saueressig Institute for Theoretical Physics & Spinoza Institute Utrecht University Add to Reading List Source URL: www.gravity.psu.edu Language: English - Date: 2006-09-06 11:29:11 Statistical mechanics Fixed points Mathematical physics Quantum gravity UV fixed point General relativity Renormalization Quantum mechanics Physics Quantum field theory Renormalization group
333	Effective Dynamics of Loop Quantum Cosmology Kevin Vandersloot Institute for Gravitational Physics and Geometry Pennsylvania State University Quantum Gravity in the Americas 3 Friday August 25, 2006 Add to Reading List Source URL: www.gravity.psu.edu Language: English - Date: 2006-09-06 11:29:12 Quantum field theory Loop quantum gravity Loop quantum cosmology Renormalization group Quantum gravity Friedmann equations Scale invariance Schrödinger equation Physics Theoretical physics Equations
334	Quantum field theory and symmetry reduced models J. Engle Class. Quantum Gravity 23, [removed], Add to Reading List Source URL: www.gravity.psu.edu Language: English - Date: 2006-09-06 11:29:09 Loop quantum gravity Conservation laws Quantum mechanics Quantum field theory Embedding Group Loop quantum cosmology Physics Symmetry Theoretical physics
335	Gluon propagator from Yang-Mills spin foams Florian Conrady IGPG Penn State Quantum Gravity in the Ameri as III Add to Reading List Source URL: www.gravity.psu.edu Language: English - Date: 2006-09-06 11:29:08 Rotational symmetry Quantum mechanics Lie groups Spin foam Propagator Spin Special unitary group Physics Quantum field theory Theoretical physics
336	Visibility of Ideal Classes Ren´e Schoof ∗ Lawrence C. Washington Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2010-09-17 08:27:56 Field theory Algebraic structures Ideal class group Ideals Elliptic curve Tate–Shafarevich group Algebraic number field Field Discriminant of an algebraic number field Abstract algebra Algebra Algebraic number theory
337	Abstract Submitted for the DFD12 Meeting of The American Physical Society High fidelity simulation of transcritical injection MARIOS SOTERIOU, HUI GAO, XIAOYI LI, DUSTIN DAVIS, United Technologies Research Center — Tra Add to Reading List Source URL: absimage.aps.org Language: English - Date: 2012-11-14 14:26:03 Conformal field theory Critical phenomena Critical point Renormalization group Critical mass Vapor Supercritical fluid Physics Quantum field theory Condensed matter physics
338	IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS II FRANZ LEMMERMEYER Abstract. We first study some families of maximal real subfields of cyclotomic fields with even class number, and then explore the implications of large Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:22 Hilbert class field Cubic field Tensor product of fields Galois module Kummer theory Conductor Field extension Ideal class group Quadratic field Abstract algebra Algebra Algebraic number theory
339	CONSTRUCTION OF HILBERT 2-CLASS FIELDS FRANZ LEMMERMEYER Abstract. Let F be a number field with odd class number, and suppose that k/F is a quadratic extension. We will deal with the problem of constructing parts of the Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:18 Quadratic field Hilbert class field Algebraic number field Ideal class group Splitting of prime ideals in Galois extensions Discriminant Reciprocity law Quaternion algebra Field extension Abstract algebra Algebra Algebraic number theory
340	THE DEVELOPMENT OF THE PRINCIPAL GENUS THEOREM FRANZ LEMMERMEYER Introduction Genus theory belongs to algebraic number theory and, in very broad terms, deals with the part of the ideal class group of a number field that Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:19:38 Algebraic number theory Quadratic forms Modular arithmetic Number theory Quadratic residue Binary quadratic form Quadratic reciprocity Ideal class group Algebraic number field Abstract algebra Mathematics Algebra

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