Tata Institute of Fundamental Research 2011; 152 pp; softcover ISBN10: 8184871627 ISBN13: 9788184871623 List Price: US$40 Member Price: US$32 Order Code: TIFR/17
 Geometric Invariant Theory (GIT), developed in the 1960s by David Mumford, is the theory of quotients by group actions in algebraic geometry. The theory's principal application is to the construction of various moduli spaces. Newstead gave a series of lectures in 1975 at the Tata Institute of Fundamental Research, Mumbai, on GIT and its application to the moduli of vector bundles on curves. It was a masterful and understandable exposition of important material, with clear proofs and many examples. The notes, published as a volume in the TIFR lecture notes series, became a classic, and generations of algebraic geometers working in these subjects got their basic introduction to this area through these lecture notes. Though continuously in demand, these lecture notes have been out of print for many years. The Tata Institute is happy to reissue these notes in this volume. A publication of the Tata Institute of Fundamental Research. Distributed worldwide except in India, Bangladesh, Bhutan, Maldavis, Nepal, Pakistan, and Sri Lanka. Readership Graduate students and research mathematicians interested in algebraic geometry. Table of Contents  Preliminaries
 The concept of moduli
 Endomorphisms of vector spaces
 Quotients
 Examples
 Vector bundles over a curve
 Bibliography
 List of symbols
 Index
