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CIME School Geometric Representation Theory and Gauge Theory

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...

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Detalles Bibliográficos
Autores principales: Bruzzo, Ugo, Grassi, Antonella, Sala, Francesco
Lenguaje:eng
Publicado: Springer 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-26856-5
http://cds.cern.ch/record/2704105
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author Bruzzo, Ugo
Grassi, Antonella
Sala, Francesco
author_facet Bruzzo, Ugo
Grassi, Antonella
Sala, Francesco
author_sort Bruzzo, Ugo
collection CERN
description 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.
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spelling cern-27041052021-04-22T06:31:33Zdoi:10.1007/978-3-030-26856-5http://cds.cern.ch/record/2704105engBruzzo, UgoGrassi, AntonellaSala, FrancescoCIME School Geometric Representation Theory and Gauge TheoryMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:27041052019
spellingShingle Mathematical Physics and Mathematics
Bruzzo, Ugo
Grassi, Antonella
Sala, Francesco
CIME School Geometric Representation Theory and Gauge Theory
title CIME School Geometric Representation Theory and Gauge Theory
title_full CIME School Geometric Representation Theory and Gauge Theory
title_fullStr CIME School Geometric Representation Theory and Gauge Theory
title_full_unstemmed CIME School Geometric Representation Theory and Gauge Theory
title_short CIME School Geometric Representation Theory and Gauge Theory
title_sort cime school geometric representation theory and gauge theory
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-26856-5
http://cds.cern.ch/record/2704105
work_keys_str_mv AT bruzzougo cimeschoolgeometricrepresentationtheoryandgaugetheory
AT grassiantonella cimeschoolgeometricrepresentationtheoryandgaugetheory
AT salafrancesco cimeschoolgeometricrepresentationtheoryandgaugetheory