1.

Record Nr.

UNISA996466670203316

Autore

Braverman Alexander

Titolo

Geometric Representation Theory and Gauge Theory [[electronic resource] ] : Cetraro, Italy 2018 / / by Alexander Braverman, Michael Finkelberg, Andrei Negut, Alexei Oblomkov ; edited by Ugo Bruzzo, Antonella Grassi, Francesco Sala

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-26856-X

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (137 pages) : illustrations

Collana

C.I.M.E. Foundation Subseries ; ; 2248

Disciplina

516.35

Soggetti

Algebraic geometry

Physics

Category theory (Mathematics)

Homological algebra

Elementary particles (Physics)

Quantum field theory

Algebraic Geometry

Mathematical Methods in Physics

Category Theory, Homological Algebra

Elementary Particles, Quantum Field Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Sommario/riassunto

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.