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Algebra, Geometry, and Physics in the 21st Century


Algebra, Geometry, and Physics in the 21st Century

Kontsevich Festschrift
Progress in Mathematics, Band 324

von: Denis Auroux, Ludmil Katzarkov, Tony Pantev, Yan Soibelman, Yuri Tschinkel

107,09 €

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 27.07.2017
ISBN/EAN: 9783319599397
Sprache: englisch

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Beschreibungen

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.
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
Contains foundational research papers by leading experts in rapidly developing fields Provides new ideas at the interface of algebraic geometry and mathematical physicsA tribute to M. Kontsevich in admiration by close colleagues and friends

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