Space – Time – Matter

Analytic and Geometric Structures

Jochen Brüning, Matthias Staudacher (Herausgeber)

Buch | Hardcover

XXII, 495 Seiten

2018
De Gruyter (Verlag)
978-3-11-045135-1 (ISBN)

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This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space – Time – Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy – Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson–Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity

Matthias Staudacher and Jochen Brüning, Humboldt-Universität zu Berlin, Germany.

Erscheinungsdatum	15.04.2018
Co-Autor	Bernold Fiedler, Klaus Ecker, Friederike Dittberner, Christian Bär, Lars Andersson, Jochen Brüning, Dorothee Schüth, Helga Baum, Andreas Juhl, Klaus Altmann, Gavril Farkas, Schmitt Alexander, Björn Andreas, Dirk Kreimer, Dhritiman Nandan, Valentina Fiorini, Pedro Liendo, Marco Chiodaroli, Livia Ferro, Juliette Hell, Marco Varisco, Sebastian Boldt, Gang Yang, Jan Plefka, Bei Francesco, Batu Güneysu, Ludewig Matthias
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	1099 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebraic Geometry • Cosmology • Differentialgeometrie • Differential Geometry • Mathematical Physics • Mathematische Physik • Partielle Differentialgleichung • Quantenfeldtheorie • quantum field theory • String Theory • Topologie
ISBN-10	3-11-045135-2 / 3110451352
ISBN-13	978-3-11-045135-1 / 9783110451351
Zustand	Neuware