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SCHOLAR -- a Scientific Celebration Highlighting Open Lines of Arithmetic Research

SCHOLAR -- a Scientific Celebration Highlighting Open Lines of Arithmetic Research PDF Author: A. C. Cojocaru
Publisher: American Mathematical Soc.
ISBN: 1470414570
Category : Mathematics
Languages : en
Pages : 274

Book Description
M. Ram Murty has had a profound impact on the development of number theory throughout the world. To honor his mathematical legacy, a conference focusing on new research directions in number theory inspired by his most significant achievements was held from October 15-17, 2013, at the Centre de Recherches Mathématiques in Montréal. This proceedings volume is representative of the broad spectrum of topics that were addressed at the conference, such as elliptic curves, function field arithmetic, Galois representations, -functions, modular forms and automorphic forms, sieve methods, and transcendental number theory. This book is co-published with the Centre de Recherches Mathématiques.

SCHOLAR -- a Scientific Celebration Highlighting Open Lines of Arithmetic Research

SCHOLAR -- a Scientific Celebration Highlighting Open Lines of Arithmetic Research PDF Author: A. C. Cojocaru
Publisher: American Mathematical Soc.
ISBN: 1470414570
Category : Mathematics
Languages : en
Pages : 274

Book Description
M. Ram Murty has had a profound impact on the development of number theory throughout the world. To honor his mathematical legacy, a conference focusing on new research directions in number theory inspired by his most significant achievements was held from October 15-17, 2013, at the Centre de Recherches Mathématiques in Montréal. This proceedings volume is representative of the broad spectrum of topics that were addressed at the conference, such as elliptic curves, function field arithmetic, Galois representations, -functions, modular forms and automorphic forms, sieve methods, and transcendental number theory. This book is co-published with the Centre de Recherches Mathématiques.

Advances in Representation Theory of Algebras

Advances in Representation Theory of Algebras PDF Author: Ibrahim Assem
Publisher: American Mathematical Soc.
ISBN: 147045159X
Category : Education
Languages : en
Pages : 257

Book Description
The Seventh ARTA (“Advances in Representation Theory of Algebras VII”) conference took place at the Instituto de Matemáticas of the Universidad Nacional Autónoma de México, in Mexico City, from September 24–28, 2018, in honor of José Antonio de la Peña's 60th birthday. Papers in this volume cover topics Professor de la Peña worked on, such as covering theory, tame algebras, and the use of quadratic forms in representation theory. Also included are papers on the categorical approach to representations of algebras and relations to Lie theory, Cohen–Macaulay modules, quantum groups and other algebraic structures.

Sergei Gukov, Mikhail Khovanov, and Johannes Walcher

Sergei Gukov, Mikhail Khovanov, and Johannes Walcher PDF Author: Sergei Gukov:
Publisher: American Mathematical Soc.
ISBN: 1470414597
Category : Mathematics
Languages : en
Pages : 188

Book Description
Throughout recent history, the theory of knot invariants has been a fascinating melting pot of ideas and scientific cultures, blending mathematics and physics, geometry, topology and algebra, gauge theory, and quantum gravity. The 2013 Séminaire de Mathématiques Supérieures in Montréal presented an opportunity for the next generation of scientists to learn in one place about the various perspectives on knot homology, from the mathematical background to the most recent developments, and provided an access point to the relevant parts of theoretical physics as well. This volume presents a cross-section of topics covered at that summer school and will be a valuable resource for graduate students and researchers wishing to learn about this rapidly growing field.

Modern Trends in Constructive Function Theory

Modern Trends in Constructive Function Theory PDF Author: E. B. Saff
Publisher: American Mathematical Soc.
ISBN: 1470425343
Category : Mathematics
Languages : en
Pages : 312

Book Description
Contains the proceedings of the conference Constructive Functions 2014, held in May 2014. The papers in this volume include results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, and random polynomials.

A Panorama of Mathematics: Pure and Applied

A Panorama of Mathematics: Pure and Applied PDF Author: Carlos M. da Fonseca
Publisher: American Mathematical Soc.
ISBN: 1470416689
Category : Mathematics
Languages : en
Pages : 292

Book Description
This volume contains the proceedings of the Conference on Mathematics and its Applications-2014, held from November 14-17, 2014, at Kuwait University, Safat, Kuwait. Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of C-systems, also known as contextual pre-categories, to the most important consequences of the so-called Fokas method. Also covered are multidisciplinary topics such as new structural and spectral matricial results, acousto-electromagnetic tomography method, a recent hybrid imaging technique, some numerical aspects of sonic-boom minimization, PDE eigenvalue problems, von Neumann entropy in graph theory, the relative entropy method for hyperbolic systems, conductances on grids, inverse problems in magnetohydrodynamics, location and size estimation of small rigid bodies using elastic far-fields, and the space-time fractional Schrödinger equation, just to cite a few. Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of C-systems, also known as contextual pre-categories, to the most important consequences of the so-called Fokas method. Also covered are multidisciplinary topics such as new structural and spectral matricial results, acousto-electromagnetic tomography method, a recent hybrid imaging technique, some numerical aspects of sonic-boom minimization, PDE eigenvalue problems, von Neumann entropy in graph theory, the relative entropy method for hyperbolic systems, conductances on grids, inverse problems in magnetohydrodynamics, location and size estimation of small rigid bodies using elastic far-fields, and the space-time fractional Schrödinger equation, just to cite a few. - See more at: http://s350148651-preview.tizrapublisher.com/conm-658/#sthash.74nRhV3y.dpufThis volume contains the proceedings of the Conference on Mathematics and its Applications–2014, held from November 14–17, 2014, at Kuwait University, Safat, Kuwait. - See more at: http://s350148651-preview.tizrapublisher.com/conm-658/#sthash.74nRhV3y.dpuf

Operator Algebras and Their Applications

Operator Algebras and Their Applications PDF Author: Robert S. Doran
Publisher: American Mathematical Soc.
ISBN: 1470419483
Category : Mathematics
Languages : en
Pages : 282

Book Description
his volume contains the proceedings of the AMS Special Session Operator Algebras and Their Applications: A Tribute to Richard V. Kadison, held from January 10–11, 2015, in San Antonio, Texas. Richard V. Kadison has been a towering figure in the study of operator algebras for more than 65 years. His research and leadership in the field have been fundamental in the development of the subject, and his influence continues to be felt though his work and the work of his many students, collaborators, and mentees. Among the topics addressed in this volume are the Kadison-Kaplanksy conjecture, classification of C∗-algebras, connections between operator spaces and parabolic induction, spectral flow, C∗-algebra actions, von Neumann algebras, and applications to mathematical physics.

Analytic Methods in Arithmetic Geometry

Analytic Methods in Arithmetic Geometry PDF Author: Alina Bucur
Publisher: American Mathematical Soc.
ISBN: 1470437848
Category : Education
Languages : en
Pages : 258

Book Description
In the last decade or so, analytic methods have had great success in answering questions in arithmetic geometry and number theory. The School provided a unique opportunity to introduce graduate students to analytic methods in arithmetic geometry. The book contains four articles. Alina C. Cojocaru's article introduces sieving techniques to study the group structure of points of the reduction of an elliptic curve modulo a rational prime via its division fields. Harald A. Helfgott's article provides an introduction to the study of growth in groups of Lie type, with SL2(Fq) and some of its subgroups as the key examples. The article by Étienne Fouvry, Emmanuel Kowalski, Philippe Michel, and Will Sawin describes how a systematic use of the deep methods from ℓ-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz and Laumon help make progress on various classical questions from analytic number theory. The last article, by Andrew V. Sutherland, introduces Sato-Tate groups and explores their relationship with Galois representations, motivic L-functions, and Mumford-Tate groups.

The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions

The Second Moment Theory of Families of $L$-Functions–The Case of Twisted Hecke $L$-Functions PDF Author: Valentin Blomer
Publisher: American Mathematical Society
ISBN: 1470456788
Category : Mathematics
Languages : en
Pages : 160

Book Description
View the abstract.

Geometry, Algebra, Number Theory, and Their Information Technology Applications

Geometry, Algebra, Number Theory, and Their Information Technology Applications PDF Author: Amir Akbary
Publisher: Springer
ISBN: 3319973797
Category : Mathematics
Languages : en
Pages : 523

Book Description
This volume contains proceedings of two conferences held in Toronto (Canada) and Kozhikode (India) in 2016 in honor of the 60th birthday of Professor Kumar Murty. The meetings were focused on several aspects of number theory: The theory of automorphic forms and their associated L-functions Arithmetic geometry, with special emphasis on algebraic cycles, Shimura varieties, and explicit methods in the theory of abelian varieties The emerging applications of number theory in information technology Kumar Murty has been a substantial influence in these topics, and the two conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.

Irregularities in the Distribution of Prime Numbers

Irregularities in the Distribution of Prime Numbers PDF Author: János Pintz
Publisher: Springer
ISBN: 3319927779
Category : Mathematics
Languages : en
Pages : 220

Book Description
This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. Emphasis is given to the research inspired by Maier’s matrix method, which established a newfound understanding of the distribution of primes. Additionally, the book provides an historical overview of a large body of research in analytic number theory and approximation theory. The papers published within are intended as reference tools for graduate students and researchers in mathematics.