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Geometric Representation Theory and Gauge Theory - Cetraro, Italy 2018 (Paperback, 1st ed. 2019)
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Geometric Representation Theory and Gauge Theory - Cetraro, Italy 2018 (Paperback, 1st ed. 2019)
Series: Lecture Notes in Mathematics, 2248
Expected to ship within 10 - 15 working days
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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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