Moduli Spaces
Seiten
2014
Cambridge University Press (Verlag)
978-1-107-63638-5 (ISBN)
Cambridge University Press (Verlag)
978-1-107-63638-5 (ISBN)
Moduli theory 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 presents articles on both fundamental material and advanced research topics, accessible at the graduate level and above.
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.
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.
Leticia Brambila-Paz is an Investigador Titular at CIMAT A. C., Mexico. Peter Newstead is an Emeritus Professor at the University of Liverpool. Richard Thomas is a Professor at Imperial College London. Oscar Garcia-Prada is a Profesor de Investigación at the Consejo Superior de Investigaciones Científicas, Madrid.
Preface; 1. Introduction to algebraic stacks K. Behrend; 2. BPS states and the P = W conjecture W. Y. Chuang, D.-E. Diaconescu and G. Pan; 3. Representations of surface groups and Higgs bundles P. B. Gothen; 4. Introduction to stability conditions D. Huybrechts; 5. An introduction to d-manifolds and derived differential geometry D. Joyce; 6. 13/2 ways of counting curves R. Pandharipande and R. P. Thomas.
| Erscheint lt. Verlag | 13.3.2014 |
|---|---|
| Reihe/Serie | London Mathematical Society Lecture Note Series |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 226 mm |
| Gewicht | 550 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-107-63638-8 / 1107636388 |
| ISBN-13 | 978-1-107-63638-5 / 9781107636385 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Sieben ausgewählte Themenstellungen
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 89,95
unlock your imagination with the narrative of numbers
Buch | Softcover (2024)
Advantage Media Group (Verlag)
CHF 27,90
Seltsame Mathematik - Enigmatische Zahlen - Zahlenzauber
Buch | Softcover (2024)
BoD – Books on Demand (Verlag)
CHF 27,95
