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  3. Moduli Spaces
Publisher:
Cambridge University Press
Online publication date:
April 2014
Print publication year:
2014
Online ISBN:
9781107279544
DOI:
https://doi.org/10.1017/CBO9781107279544
Subjects:
Mathematics (general), Mathematics, Number Theory, Geometry and Topology
Series:
London Mathematical Society Lecture Note Series (411)
Information

Book description

Moduli theory is the study of how objects, typically in algebraic geometry but sometimes in other areas of mathematics, vary in families and is fundamental to an understanding of the objects themselves. First formalised in the 1960s, it represents a significant topic of modern mathematical research with strong connections to many areas of mathematics (including geometry, topology and number theory) and other disciplines such as theoretical physics. This book, which arose from a programme at the Isaac Newton Institute in Cambridge, is an ideal way for graduate students and more experienced researchers to become acquainted with the wealth of ideas and problems in moduli theory and related areas. The reader will find articles on both fundamental material and cutting-edge research topics, such as: algebraic stacks; BPS states and the P = W conjecture; stability conditions; derived differential geometry; and counting curves in algebraic varieties, all written by leading experts.

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