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| Author | : Edward Frenkel |
| Publisher | : Cambridge University Press |
| Total Pages | : 5 |
| Release | : 2007-06-28 |
| Genre | : Mathematics |
| ISBN | : 0521854431 |
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
| Author | : Edward Frenkel |
| Publisher | : |
| Total Pages | : 379 |
| Release | : 2007 |
| Genre | : Loops (Group theory) |
| ISBN | : 9780511294204 |
| Author | : Edward Frenkel |
| Publisher | : |
| Total Pages | : 379 |
| Release | : 2010-07-23 |
| Genre | : |
| ISBN | : 9780521168892 |
| Author | : Michael Cowling |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 400 |
| Release | : 2008-02-27 |
| Genre | : Mathematics |
| ISBN | : 3540768912 |
Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.
| Author | : Xinwen Zhu |
| Publisher | : |
| Total Pages | : 326 |
| Release | : 2009 |
| Genre | : |
| ISBN | : |
| Author | : Edward Frenkel |
| Publisher | : Basic Books |
| Total Pages | : 314 |
| Release | : 2013-10-01 |
| Genre | : Mathematics |
| ISBN | : 0465069959 |
An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
| Author | : victor ginzburg |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 656 |
| Release | : 2007-12-31 |
| Genre | : Mathematics |
| ISBN | : 0817645322 |
This book represents a collection of invited papers by outstanding mathematicians in algebra, algebraic geometry, and number theory dedicated to Vladimir Drinfeld. Original research articles reflect the range of Drinfeld's work, and his profound contributions to the Langlands program, quantum groups, and mathematical physics are paid particular attention. These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory.
| Author | : Sergey Novikov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 480 |
| Release | : 2021-04-12 |
| Genre | : Education |
| ISBN | : 1470455927 |
This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.
| Author | : Gunter Malle |
| Publisher | : Cambridge University Press |
| Total Pages | : 324 |
| Release | : 2011-09-08 |
| Genre | : Mathematics |
| ISBN | : 113949953X |
Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.
| Author | : Klaus Lux |
| Publisher | : Cambridge University Press |
| Total Pages | : 471 |
| Release | : 2010-07-01 |
| Genre | : Mathematics |
| ISBN | : 1139489186 |
The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this well-paced text is ideal for graduate-level study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real hands-on work. GAP is freely available from www.gap-system.org and readers can download source code and solutions to selected exercises from the book's web page.
