© 2019

Geometric Representation Theory and Gauge Theory

Cetraro, Italy 2018

  • Ugo Bruzzo
  • Antonella Grassi
  • Francesco Sala

Part of the Lecture Notes in Mathematics book series (LNM, volume 2248)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2248)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Alexander Braverman, Michael Finkelberg
    Pages 1-52
  3. Back Matter
    Pages 129-130

About this book


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.


Braid Groups and Markov Trace Coulomb Branch of Quantum Gauge Theories Hecke Correspondences Between Moduli Spaces of Sheaves Matrix Factorization Moduli Spaces

Authors and affiliations

  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada
  2. 2.Faculty of Mathematics, Laboratory of Algebraic Geometry and its ApplicationsNational Research University Higher School of EconomicsMoscowRussia
  3. 3.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  4. 4.Department of Mathematics and StatisticsUniversity of MassachusettsAmherstUSA

Editors and affiliations

  • Ugo Bruzzo
    • 1
  • Antonella Grassi
    • 2
  • Francesco Sala
    • 3
  1. 1.Department of MathematicsScuola Internazionale Superiore di Studi AvanzatiTriesteItaly
  2. 2.Department of MathematicsUniversità di BolognaBolognaItaly
  3. 3.Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced StudyUniversity of TokyoKashiwa-shiJapan

Bibliographic information

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