Moduli spaces [EBook] / edited by Leticia BrambilaPaz (Centro de Investigación en Matemáticas A.C. (CIMAT), Mexico), Oscar GarcíaPrada (Consejo Superior de Investigaciones Cientificas, Madrid), Peter Newstead (University of Liverpool), Richard P. Thomas (Imperial College London).
Moduli spaces [EBook] / edited by Leticia BrambilaPaz (Centro de Investigación en Matemáticas A.C. (CIMAT), Mexico), Oscar GarcíaPrada (Consejo Superior de Investigaciones Cientificas, Madrid), Peter Newstead (University of Liverpool), Richard P. Thomas (Imperial College London).
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...
Personal Name(s):  Brambila, L., (editor) 

GarcíaPrada, O., (editor) / Newstead, P. E., (editor) / Thomas, Richard P., (editor)  
Imprint: 
Cambridge :
Cambridge University Press,
2014

Physical Description: 
1 online resource (xi, 333 pages) 
Note: 
englisch 
ISBN: 
9781107636385 9781107279544 
Series Title: 
London Mathematical Society lecture note series ;
411 
Subject (LOC):  
Full Text 
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 cuttingedge 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. 