The workshop will explore the relation between boundary conditions in four-dimensional gauge theory the Geometric Langlands program and Vertex Operator Algebras.
Format results
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Gauge Theory, Geometric Langlands, and All That
Edward Witten - Institute for Advanced Study (IAS) - School of Natural Sciences (SNS)
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Overview of the global Langlands correspondence
Dima Arinkin - University of Wisconsin-Milwaukee
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Gauge theory, vertex algebras and quantum Geometric Langland dualities
Davide Gaiotto - Perimeter Institute for Theoretical Physics
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Introduction to local geometric Langlands
Sam Raskin - The University of Texas at Austin
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The Master Chiral Algebra
Dennis Gaitsgory - Harvard University
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Gauge Theory, Geometric Langlands, and All That
Edward Witten - Institute for Advanced Study (IAS) - School of Natural Sciences (SNS)
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Overview of the global Langlands correspondence
Dima Arinkin - University of Wisconsin-Milwaukee
In this talk, I plan to review the global Langlands correspondence in the de Rham setting. The focus will be on the `big picture': the formulation of the correspondence, its expected properties, and possible approaches towards its proof. -
Gauge theory, vertex algebras and quantum Geometric Langland dualities
Davide Gaiotto - Perimeter Institute for Theoretical Physics
I will review the gauge theory setup relevant for quantum Geometric Langland applications, the relation to vertex algebras and some conjectural mathematical implications. -
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Ring objects in the equivariant derived Satake category and 3d N=4 QFT
The mathematical definition of Coulomb branches of 3d N=4 gauge theories gives ring objects in the equivariant derived Satake category. We have another fundamental example of a ring object, namely the regular sheaf. It corresponds to the 3d N=4 QFT T[G], studied by Gaiotto-Witten. We also have… -