Mathematical physics, including mathematics, is a research area where novel mathematical techniques are invented to tackle problems in physics, and where novel mathematical ideas find an elegant physical realization. Historically, it would have been impossible to distinguish between theoretical physics and pure mathematics. Often spectacular advances were seen with the concurrent development of new ideas and fields in both mathematics and physics. Here one might note Newton's invention of modern calculus to advance the understanding of mechanics and gravitation.
In the twentieth century, quantum theory was developed almost simultaneously with a variety of mathematical fields, including linear algebra, the spectral theory of operators and functional analysis. This fruitful partnership continues today with, for example, the discovery of remarkable connections between gauge theories and string theories from physics and geometry and topology in mathematics.
Format results
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Dualizability in higher Morita categories
Eilind Karlsson Technical University of Munich (TUM)
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Discussion on Langlands
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David Ben-Zvi The University of Texas at Austin
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Alexander Braverman University of Toronto
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Davide Gaiotto Perimeter Institute for Theoretical Physics
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Philsang Yoo Seoul National University
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Lie superalgebras and S-duality
Alexander Braverman University of Toronto
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The relative Langlands program via gauge theory cont.
David Ben-Zvi The University of Texas at Austin
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The relative Langlands program via gauge theory
David Ben-Zvi The University of Texas at Austin
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Discussion on 4d N=2
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Davide Gaiotto Perimeter Institute for Theoretical Physics
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Lotte Hollands Heriot-Watt University
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Joerg Teschner Deutsches Elektronen-Synchrotron, DESY - Theory Group
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Fei Yan Rutgers University
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Field theory in the 1/2 Omega-background cont.
Lotte Hollands Heriot-Watt University
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Field theory in the 1/2 Omega-background
Lotte Hollands Heriot-Watt University
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Discussion on 3d A-model
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Tudor Dimofte University of Edinburgh
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Benjamin Gammage Harvard University
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Justin Hilburn Perimeter Institute for Theoretical Physics
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Ahsan Khan Institute for Advanced Study (IAS)
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Abelian 3d mirror symmetry and boundary conditions
Benjamin Gammage Harvard University
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Holomorphic BF theory, 4d SYM and the analytic Geometric Langlands program
Davide Gaiotto Perimeter Institute for Theoretical Physics