Geometric Representation Theory and Gauge Theory

Released on by Alexander Braverman
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  • Geometric Representation Theory and Gauge Theory Book Detail

  • Author : Alexander Braverman
  • Release Date : 2019-11-22
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 137
  • ISBN 13 : 303026856X
  • File Size : 46,46 MB
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Geometric Representation Theory and Gauge Theory by Alexander Braverman PDF Summary

Book 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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A Study in Derived Algebraic Geometry

A Study in Derived Algebraic Geometry

File Size : 32,32 MB
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Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prom