TY - BOOK ID - 80820604 TI - Moduli spaces AU - Brambila, L AU - García-Prada, O AU - Newstead, P E AU - Thomas, Richard P PY - 2014 SN - 9781107279544 9781107636385 9781107780163 1107780160 9781107784611 1107784611 9781107781412 1107781418 1107279542 9781107779754 1107779758 1107636388 1139895451 1107785073 PB - Cambridge DB - UniCat KW - Moduli theory. KW - Arithmetical algebraic geometry. KW - Algebraic geometry, Arithmetical KW - Arithmetic algebraic geometry KW - Diophantine geometry KW - Geometry, Arithmetical algebraic KW - Geometry, Diophantine KW - Number theory KW - Theory of moduli KW - Analytic spaces KW - Functions of several complex variables KW - Geometry, Algebraic KW - Geometry, Algebraic. KW - Moduli theory KW - Algebraic geometry KW - Geometry UR - https://www.unicat.be/uniCat?func=search&query=sysid:80820604 AB - 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. ER -