03807nam 22007215 450 991036085030332120251113204352.03-030-26856-X10.1007/978-3-030-26856-5(CKB)4100000009939684(MiAaPQ)EBC5983820(DE-He213)978-3-030-26856-5(PPN)241961858(EXLCZ)99410000000993968420191122d2019 u| 0engurcnu||||||||rdacontentrdamediardacarrierGeometric Representation Theory and Gauge Theory Cetraro, Italy 2018 /by Alexander Braverman, Michael Finkelberg, Andrei Negut, Alexei Oblomkov ; edited by Ugo Bruzzo, Antonella Grassi, Francesco Sala1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (137 pages) illustrationsC.I.M.E. Foundation Subseries,2946-1820 ;22483-030-26855-1 Includes bibliographical references.This book offers a review of the vibrant areas of geometric representation theory and gauge theory, which are characterized by a merging of traditional techniques in representation theory with the use of powerful tools from algebraic geometry, and with strong inputs from physics. The notes are based on lectures delivered at the CIME school "Geometric Representation Theory and Gauge Theory" held in Cetraro, Italy, in June 2018. They comprise three contributions, due to Alexander Braverman and Michael Finkelberg, Andrei Negut, and Alexei Oblomkov, respectively. Braverman and Finkelberg’s notes review the mathematical theory of the Coulomb branch of 3D N=4 quantum gauge theories. The purpose of Negut’s notes is to study moduli spaces of sheaves on a surface, as well as Hecke correspondences between them. Oblomkov's notes concern matrix factorizations and knot homology. This book will appeal to both mathematicians and theoretical physicists and will be a source of inspiration for PhD students and researchers.C.I.M.E. Foundation Subseries,2946-1820 ;2248Geometry, AlgebraicMathematical physicsAlgebra, HomologicalParticles (Nuclear physics)Quantum field theoryAlgebraic GeometryMathematical Methods in PhysicsCategory Theory, Homological AlgebraElementary Particles, Quantum Field TheoryGeometry, Algebraic.Mathematical physics.Algebra, Homological.Particles (Nuclear physics)Quantum field theory.Algebraic Geometry.Mathematical Methods in Physics.Category Theory, Homological Algebra.Elementary Particles, Quantum Field Theory.516.35516.35Braverman Alexanderauthttp://id.loc.gov/vocabulary/relators/aut1064209Finkelberg Michaelauthttp://id.loc.gov/vocabulary/relators/autNegut Andreiauthttp://id.loc.gov/vocabulary/relators/autOblomkov Alexeiauthttp://id.loc.gov/vocabulary/relators/autBruzzo Ugoedthttp://id.loc.gov/vocabulary/relators/edtGrassi Antonellaedthttp://id.loc.gov/vocabulary/relators/edtSala Francescoedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910360850303321Geometric Representation Theory and Gauge Theory2536872UNINA