Tata Lectures on Theta I
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Beschreibung
The first of a series of three volumes surveying the theory of theta functions and its significance in the fields of representation theory and algebraic geometry, this volume deals with the basic theory of theta functions in one and several variables, and some of its number theoretic applications.
Requiring no background in advanced algebraic geometry, the text serves as a modern introduction to the subject.
This volume is the first 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.
Autor*in
David Mumford
Themen in »Tata Lectures on Theta I«
Theta function Volume algebra algebraic geometry function functions geometry presentation representation theory variable