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.
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Wall-crossing structures and Chern-Simons theory.
Yan Soibelman Kansas State University
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Hamiltonian dynamics behind compressible fluids
Boris Khesin University of Toronto
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What factorization algebras are (not) good for
Owen Gwilliam University of Massachusetts Amherst
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On 2-Categories and 3d A-models
Ahsan Khan Institute for Advanced Study (IAS)
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Moduli space of cactus flowers
Joel Kamnitzer University of Toronto
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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