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

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Abstract 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.
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.
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Created Date 2017.09.12
Modified Date 2017.12.27