Superschool on Derived Categories and D-br...

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Beschreibung

This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike.
These proceedings provide a pleasant and broad introduction into modern research topics surrounding string theory and mirror symmetry that is approachable to readers new to the subjects. These topics include constructions of various mirror pairs, approaches to mirror symmetry, connections to homological algebra, and physical motivations. Of particular interest is the connection between GLSMs, D-branes, birational geometry, and derived categories, which is explained both from a physical and mathematical perspective. The introductory lectures provided herein highlight many features of this emerging field and give concrete connections between the physics and the math.
Mathematical readers will come away with a broader perspective on this field and a bit of physical intuition, while physicists will gain an introductory overview of the developing mathematical realization of physical predictions.

Zusammenfassung

Gives a broad perspective on the field, perfect for a graduate student seminar

Distills intuition from physics for mathematicians, concretely expressing how the mathematics developed from the physics

Builds readers' knowledge with a particular focus on GLSMs, D-branes, birational geometry, and derived categories, which does not exist in an introductory form

Covers modern research topics without requiring considerable prior knowledge

Inhaltsverzeichnis

Abelian and Triangulated Categories (C. Hanratty).- Derived Categories and Derived Functors (N.K. Chidambaram).- Introduction to Quivers (M. Chinen).- Semi-orthogonal Decompositions of Derived Categories (Y. Liu).- Introduction to Bridgeland Stability Conditions (R. Tramel).- A Brief Introduction to Geometric Invariant Theory (N. Grieve).- Birational Geometry and Derived Categories (C. Diemer).- Introduction to Mirror Symmetry (R. Hughes).- Batyrev Mirror Symmetry (M. Talpo).- Differential Graded Categories (A.A. Takeda).- Introduction to Symplectic Geometry and Fukaya Category (A.Z. Zhang).- Homological Mirror Symmetry (A. Harder).- The Syz Conjecture Via Homological Mirror Symmetry (D. Bejleri).- The Derived Category of Coherent Sheaves and B-model Topological String Theory (S. Pietromonaco).- Introduction to Topological String Theories (K. Osuga).- An Overview of B-branes in Gauged Linear Sigma Models (N. Ishtiaque).

Details

Erscheinungsjahr:	2018
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	ix 260 S. 5 s/w Illustr. 260 p. 5 illus.
ISBN-13:	9783319916255
ISBN-10:	3319916254
Sprache:	Englisch
Herstellernummer:	978-3-319-91625-5
Einband:	Gebunden
Autor:	Ballard, Matthew Doran, Charles Favero, David Sharpe, Eric
Redaktion:	Ballard, Matthew Sharpe, Eric Favero, David Doran, Charles
Herausgeber:	Matthew Ballard/Charles Doran/David Favero et al
Auflage:	1st edition 2018
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 21 mm
Von/Mit:	Matthew Ballard (u. a.)
Erscheinungsdatum:	23.08.2018
Gewicht:	0,576 kg

Artikel-ID: 113469257