Tata Lectures on Theta III / Edition 1

Tata Lectures on Theta III / Edition 1

by David Mumford, M. Nori, P. Norman
     
 

ISBN-10: 0817645705

ISBN-13: 9780817645700

Pub. Date: 12/22/2006

Publisher: Birkhauser Verlag

This volume is the third of three in a series surveying the theory of theta functions which play a central role in the fields of complex analysis, algebraic geometry, number theory and most recently particle physics.

Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of

Overview

This volume is the third of three in a series surveying the theory of theta functions which play a central role in the fields of complex analysis, algebraic geometry, number theory and most recently particle physics.

Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).

Researchers and graduate students in mathematics and physics will find these volumes to be valuable additions to their libraries.

Product Details

ISBN-13:
9780817645700
Publisher:
Birkhauser Verlag
Publication date:
12/22/2006
Series:
Modern Birkhauser Classics Series
Edition description:
1st ed. 1991. 2nd printing 2006
Pages:
202
Product dimensions:
9.21(w) x 6.14(h) x 0.46(d)

Table of Contents

Heisenberg groups in general.- The real Heisenberg groups.- Finite Heisenberg groups and sections of line bundles on abelian varieties.- Adelic Heisenberg groups and towers of abelian varieties.- Algebraic theta functions.- Theta functions with quadratic forms.- Riemann’s theta relation.- The metaplectic group and the full functional equation of ?.- Theta Functions in Spherical Harmonics.- The homogeneous coordinate ring of an abelian variety.

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