L. D. Faddeev's Seminar on Mathematical Physics

L. D. Faddeev's Seminar on Mathematical Physics
Author: Michael Semenov-Tian-Shansky
Publisher: American Mathematical Soc.
Total Pages: 336
Release: 2000
Genre: Mathematics
ISBN: 9780821821336

Professor L. D. Faddeev's seminar at Steklov Mathematical Institute (St. Petersburg, Russia) has a long history of over 30 years of intensive work which shaped modern mathematical physics. This collection, honoring Professor Faddeev's 65th anniversary, has been prepared by his students and colleagues. Topics covered in the volume include classical and quantum integrable systems (both analytic and algebraic aspects), quantum groups and generalizations, quantum field theory, and deformation quantization. Included is a history of the seminar highlighting important developments, such as the invention of the quantum inverse scattering method and of quantum groups. The book will serve nicely as a comprehensive, up-to-date resource on the topic.

Noncommutative Geometry and Representation Theory in Mathematical Physics

Noncommutative Geometry and Representation Theory in Mathematical Physics
Author: Jürgen Fuchs
Publisher: American Mathematical Soc.
Total Pages: 402
Release: 2005
Genre: Mathematics
ISBN: 0821837184

Mathematics provides a language in which to formulate the laws that govern nature. It is a language proven to be both powerful and effective. In the quest for a deeper understanding of the fundamental laws of physics, one is led to theories that are increasingly difficult to put to the test. In recent years, many novel questions have emerged in mathematical physics, particularly in quantum field theory. Indeed, several areas of mathematics have lately become increasingly influentialin physics and, in turn, have become influenced by developments in physics. Over the last two decades, interactions between mathematicians and physicists have increased enormously and have resulted in a fruitful cross-fertilization of the two communities. This volume contains the plenary talks fromthe international symposium on Noncommutative Geometry and Representation Theory in Mathematical Physics held at Karlstad University (Sweden) as a satellite conference to the Fourth European Congress of Mathematics. The scope of the volume is large and its content is relevant to various scientific communities interested in noncommutative geometry and representation theory. It offers a comprehensive view of the state of affairs for these two branches of mathematical physics. The book is suitablefor graduate students and researchers interested in mathematical physics.

Moscow Seminar on Mathematical Physics, II

Moscow Seminar on Mathematical Physics, II
Author: Yu. A. Neretin
Publisher: American Mathematical Soc.
Total Pages: 228
Release: 2008
Genre: Mathematics
ISBN: 9780821843710

The Institute for Theoretical and Experimental Physics (ITEP) is internationally recognized for achievements in various branches of theoretical physics. For many years, the seminars at ITEP have been among the main centers of scientific life in Moscow. This volume is a collection of articles by participants of the seminar on mathematical physics that has been held at ITEP since 1983. This is the second such collection; the first was published in the same series, AMS Translations, Series 2, vol. 191. The papers in the volume are devoted to several mathematical topics that strongly influenced modern theoretical physics. Among these topics are cohomology and representations of infinite Lie algebras and superalgebras, Hitchin and Knizhnik-Zamolodchikov-Bernard systems, and the theory of $D$-modules. The book is intended for graduate students and research mathematicians working in algebraic geometry, representation theory, and mathematical physics.

Selected Papers on Probability and Statistics

Selected Papers on Probability and Statistics
Author:
Publisher: American Mathematical Soc.
Total Pages: 243
Release: 2009
Genre: Mathematics
ISBN: 0821848216

This volume contains translations of papers that originally appeared in the Japanese journal Sugaku. The papers range over a variety of topics in probability theory, statistics, and applications. This volume is suitable for graduate students and research mathematicians interested in probability and statistics.

Operator Theory and Its Applications

Operator Theory and Its Applications
Author: Michael Levitin
Publisher: American Mathematical Soc.
Total Pages: 192
Release: 2010
Genre: Mathematics
ISBN: 0821852728

Devoted to the theory of linear operators in Hilbert spaces and its applications, the subjects covered in this book range from the abstract theory of Toeplitz operators to the analysis of very specific differential operators arising in quantum mechanics, electromagnetism, and the theory of elasticity.

Partial Differential Equations

Partial Differential Equations
Author: M. S. Agranovich
Publisher: American Mathematical Soc.
Total Pages: 292
Release: 2002
Genre: Mathematics
ISBN: 9780821833032

Mark Vishik's Partial Differential Equations seminar held at Moscow State University was one of the world's leading seminars in PDEs for over 40 years. This book celebrates Vishik's eightieth birthday. It comprises new results and survey papers written by many renowned specialists who actively participated over the years in Vishik's seminars. Contributions include original developments and methods in PDEs and related fields, such as mathematical physics, tomography, and symplecticgeometry. Papers discuss linear and nonlinear equations, particularly linear elliptic problems in angles and general unbounded domains, linear elliptic problems with a parameter for mixed order systems, infinite-dimensional Schrodinger equations, Navier-Stokes equations, and nonlinear Maxwellequations. The book ends on a historical note with a paper about Vishik's seminar as a whole and a list of selected talks given from 1964 through 1989. The book is suitable for graduate students and researchers in pure and applied mathematics and mathematical physics.

Topology, Ergodic Theory, Real Algebraic Geometry

Topology, Ergodic Theory, Real Algebraic Geometry
Author: Vladimir G. Turaev
Publisher: American Mathematical Soc.
Total Pages: 300
Release: 2001
Genre: Biography & Autobiography
ISBN: 9780821827406

This volume is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (1919-1984). It is a collection of research papers written by his former students and followers, who are now experts in their fields. The topics in this volume include topology (the Morse-Novikov theory, spin bordisms in dimension 6, and skein modules of links), real algebraic geometry (real algebraic curves, plane algebraic surfaces, algebraic links, and complex orientations), dynamics (ergodicity, amenability, and random bundle transformations), geometry of Riemannian manifolds, theory of Teichmuller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles which should prove of historical interest.

Spectral Theory and Differential Equations

Spectral Theory and Differential Equations
Author: E. Khruslov
Publisher: American Mathematical Society
Total Pages: 266
Release: 2014-09-26
Genre: Mathematics
ISBN: 1470416832

This volume is dedicated to V. A. Marchenko on the occasion of his 90th birthday. It contains refereed original papers and survey articles written by his colleagues and former students of international stature and focuses on the areas to which he made important contributions: spectral theory of differential and difference operators and related topics of mathematical physics, including inverse problems of spectral theory, homogenization theory, and the theory of integrable systems. The papers in the volume provide a comprehensive account of many of the most significant recent developments in that broad spectrum of areas.