03921nam 22006495 450 991025427650332120200706234833.03-319-59939-910.1007/978-3-319-59939-7(CKB)4340000000062059(MiAaPQ)EBC4930047(DE-He213)978-3-319-59939-7(PPN)203669231(EXLCZ)99434000000006205920170728d2017 u| 0engurcnu||||||||rdacontentrdamediardacarrierAlgebra, Geometry, and Physics in the 21st Century Kontsevich Festschrift /edited by Denis Auroux, Ludmil Katzarkov, Tony Pantev, Yan Soibelman, Yuri Tschinkel1st ed. 2017.Cham :Springer International Publishing :Imprint: Birkhäuser,2017.1 online resource (364 pages) illustrations (some color), tablesProgress in Mathematics,0743-1643 ;3243-319-59938-0 Includes bibliographical references at the end of each chapters.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.Progress in Mathematics,0743-1643 ;324Algebraic geometryDifferential geometryCategory theory (Mathematics)Homological algebraAlgebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Differential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Category Theory, Homological Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11035Algebraic geometry.Differential geometry.Category theory (Mathematics).Homological algebra.Algebraic Geometry.Differential Geometry.Category Theory, Homological Algebra.512.9Auroux Denisedthttp://id.loc.gov/vocabulary/relators/edtKatzarkov Ludmiledthttp://id.loc.gov/vocabulary/relators/edtPantev Tonyedthttp://id.loc.gov/vocabulary/relators/edtSoibelman Yanedthttp://id.loc.gov/vocabulary/relators/edtTschinkel Yuriedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910254276503321Algebra, Geometry, and Physics in the 21st Century2255276UNINA