Algebra, Geometry, and Physics in the 21st Century: Kontsevich Festschrift

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

Overview

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

Product Details

ISBN-13:	9783319599380
Publisher:	Springer International Publishing
Publication date:	07/28/2017
Series:	Progress in Mathematics , #324
Edition description:	1st ed. 2017
Pages:	364
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

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.