Algebra, Geometry, and Physics in the 21st Century

Kontsevich Festschrift

Denis Auroux, Ludmil Katzarkov, Tony Pantev, Yan Soibelman, Yuri Tschinkel (Herausgeber)

Buch | Hardcover

VII, 364 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-59938-0 (ISBN)

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This volume is a tribute to Maxim Kontsevich, one of the most original and influential mathematicians of our time. Maxim's vision has inspired major developments in many areas of mathematics, ranging all the way from probability theory to motives over finite fields, and has brought forth a paradigm shift at the interface of modern geometry and mathematical physics. Many of his papers have opened completely new directions of research and led to the solutions of many classical problems. This book collects papers by leading experts currently engaged in research on topics close to Maxim's heart.

Contributors:

S. Donaldson

A. Goncharov

D. Kaledin

M. Kapranov

A. Kapustin

L. Katzarkov

A. Noll

P. Pandit

S. Pimenov

J. Ren

P. Seidel

C. Simpson

Y. Soibelman

R. Thorngren

Adiabatic limits of co-associative Kovalev-Lefschetz fibrations.- Ideal webs, moduli spaces of local systems, and 3d Calabi-Yau categories.- Spectral sequences for cyclic homology.- Derived varieties of complexes and Kostant's theorem for gl(mjn).- Higher symmetry and gapped phases of gauge theories.- Constructing Buildings and Harmonic Maps.- Cohomological Hall algebras, semicanonical bases and Donaldson-Thomas invariants for 2-dimensional Calabi-Yau categories.- Fukaya A1-structures associated to Lefschetz fibrations. II.

Erscheinungsdatum	18.08.2017
Reihe/Serie	Progress in Mathematics
Zusatzinfo	VII, 364 p. 65 illus., 40 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	715 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebra • Algebraic Geometry • Calabi-Yau varieties • Category Theory, Homological Algebra • cyclic homology • derived categories • Differential & Riemannian geometry • Differential Geometry • Differential & Riemannian geometry • Gauge Theory • Homological Mirror Symmetry • Lefschetz fibrations • Mathematical Foundations • Mathematics • mathematics and statistics
ISBN-10	3-319-59938-0 / 3319599380
ISBN-13	978-3-319-59938-0 / 9783319599380
Zustand	Neuware