Geometric Representation Theory and Gauge Theory: Cetraro, Italy 2018

by Alexander Braverman, Michael Finkelberg, Andrei Negut, Alexei Oblomkov, Ugo Bruzzo

Overview

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 forPhD students and researchers.

Product Details

ISBN-13:	9783030268558
Publisher:	Springer International Publishing
Publication date:	11/23/2019
Series:	Lecture Notes in Mathematics , #2248
Edition description:	1st ed. 2019
Pages:	130
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

- Coulomb Branches of 3-Dimensional Gauge Theories and Related Structures. - Moduli Spaces of Sheaves on Surfaces: Hecke Correspondences and Representation Theory. - Notes on Matrix Factorizations and Knot Homology.