**Author**: Igor Dolgachev

**Publisher:**Cambridge University Press

**ISBN:**9780521525480

**Size**: 29.78 MB

**Format:**PDF, ePub, Docs

**Category :**Mathematics

**Languages :**en

**Pages :**220

**View:**885

**Book Description:**Table of contents

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## Lectures On Invariant Theory

**Book Detail:**
**Author**: Igor Dolgachev

**Publisher:** Cambridge University Press

**ISBN:** 9780521525480

**Size**: 29.78 MB

**Format:** PDF, ePub, Docs

**Category : **Mathematics

**Languages : **en

**Pages : **220

**View:** 885

**Book Description:**
Table of contents

## Lectures On Invariant Theory

**Book Detail:**
**Author**: Igor V. Dolgachev

**Publisher:**

**ISBN:** 9781107362260

**Size**: 25.89 MB

**Format:** PDF, Mobi

**Category : **MATHEMATICS

**Languages : **en

**Pages : **237

**View:** 3335

**Book Description:**
This 2003 book is a brief introduction to algebraic and geometric invariant theory with numerous examples and exercises.

## Lectures On Classical Invariant Theory

**Book Detail:**
**Author**: James Lepowsky

**Publisher:**

**ISBN:**

**Size**: 29.79 MB

**Format:** PDF, Docs

**Category : **

**Languages : **en

**Pages : **152

**View:** 2931

**Book Description:**

## Lectures On Seiberg Witten Invariants

**Book Detail:**
**Author**: John D. Moore

**Publisher:** Springer Science & Business Media

**ISBN:** 3540412212

**Size**: 80.67 MB

**Format:** PDF, ePub, Mobi

**Category : **Mathematics

**Languages : **en

**Pages : **121

**View:** 3599

**Book Description:**
Riemannian, symplectic and complex geometry are often studied by means ofsolutions to systems ofnonlinear differential equations, such as the equa tions of geodesics, minimal surfaces, pseudoholomorphic curves and Yang Mills connections. For studying such equations, a new unified technology has been developed, involving analysis on infinite-dimensional manifolds. A striking applications of the new technology is Donaldson's theory of "anti-self-dual" connections on SU(2)-bundles over four-manifolds, which applies the Yang-Mills equations from mathematical physics to shed light on the relationship between the classification of topological and smooth four-manifolds. This reverses the expected direction of application from topology to differential equations to mathematical physics. Even though the Yang-Mills equations are only mildly nonlinear, a prodigious amount of nonlinear analysis is necessary to fully understand the properties of the space of solutions. . At our present state of knowledge, understanding smooth structures on topological four-manifolds seems to require nonlinear as opposed to linear PDE's. It is therefore quite surprising that there is a set of PDE's which are even less nonlinear than the Yang-Mills equation, but can yield many of the most important results from Donaldson's theory. These are the Seiberg-Witte~ equations. These lecture notes stem from a graduate course given at the University of California in Santa Barbara during the spring quarter of 1995. The objective was to make the Seiberg-Witten approach to Donaldson theory accessible to second-year graduate students who had already taken basic courses in differential geometry and algebraic topology.

## Lectures On Representation Theory And Invariant Theory

**Book Detail:**
**Author**: William Crawley-Boevey

**Publisher:**

**ISBN:**

**Size**: 15.96 MB

**Format:** PDF, Docs

**Category : **

**Languages : **de

**Pages : **74

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**Book Description:**

## Lectures On Ergodic Theory

**Book Detail:**
**Author**: Paul R. Halmos

**Publisher:** Courier Dover Publications

**ISBN:** 0486814890

**Size**: 25.52 MB

**Format:** PDF, Kindle

**Category : **Mathematics

**Languages : **en

**Pages : **112

**View:** 5877

**Book Description:**
This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "The book is written in the pleasant, relaxed, and clear style usually associated with the author," noted the Bulletin of the American Mathematical Society, adding, "The material is organized very well and painlessly presented." Suitable for advanced undergraduates and graduate students in mathematics, the treatment covers recurrence, mean and pointwise convergence, ergodic theorem, measure algebras, and automorphisms of compact groups. Additional topics include weak topology and approximation, uniform topology and approximation, invariant measures, unsolved problems, and other subjects.

## Invariant Theory

**Book Detail:**
**Author**: T.A. Springer

**Publisher:** Springer Verlag

**ISBN:**

**Size**: 51.64 MB

**Format:** PDF, ePub, Docs

**Category : **Mathematics

**Languages : **en

**Pages : **111

**View:** 3541

**Book Description:**

## David Hilbert S Lectures On The Foundations Of Physics 1915 1927

**Book Detail:**
**Author**: Tilman Sauer

**Publisher:** Springer Science & Business Media

**ISBN:** 3540682422

**Size**: 75.51 MB

**Format:** PDF, ePub, Docs

**Category : **Mathematics

**Languages : **de

**Pages : **690

**View:** 2136

**Book Description:**
These documents do nothing less than bear witness to one of the most dramatic changes in the foundations of science. The book has three sections that cover general relativity, epistemological issues, and quantum mechanics. This fascinating work will be a vital text for historians and philosophers of physics, as well as researchers in related physical theories.

## Theory Of Algebraic Invariants

**Book Detail:**
**Author**: David Hilbert

**Publisher:** Cambridge University Press

**ISBN:** 9780521449038

**Size**: 58.92 MB

**Format:** PDF, ePub, Docs

**Category : **Mathematics

**Languages : **en

**Pages : **191

**View:** 6502

**Book Description:**
An English translation of the notes from David Hilbert's course in 1897 on Invariant Theory at the University of Gottingen taken by his student Sophus Marxen.

## Epfl Lectures On Conformal Field Theory In D 3 Dimensions

**Book Detail:**
**Author**: Slava Rychkov

**Publisher:** Springer

**ISBN:** 3319436260

**Size**: 13.59 MB

**Format:** PDF, ePub, Mobi

**Category : **Science

**Languages : **en

**Pages : **72

**View:** 1257

**Book Description:**
This primer develops Conformal Field Theory (CFT) from scratch, whereby CFT is viewed as any conformally-invariant theory that describes a fixed point of a renormalization group flow in quantum field theory. The book is divided into four lectures: Lecture 1 addresses the physical foundations of conformal invariance, while Lecture 2 examines the constraints imposed by conformal symmetry on the correlation functions of local operators, presented using the so-called projective null cone – a procedure also known as the embedding formalism. In turn, Lecture 3 focuses on the radial quantization and the operator product expansion, while Lecture 4 offers a very brief introduction to the conformal bootstrap. Derived from course-based notes, these lectures are intended as a first point of entry to this topic for Master and PhD students alike.