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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Lattice systems and topological field theories
Michael Hopkins Harvard University




Welcome and Opening Remarks
Theo JohnsonFreyd Dalhousie University

TQFT's and flat connections
Tudor Dimofte University of Edinburgh

Line Defect Quantum Numbers and Anomalies
Thomas Dumitrescu University of California, Los Angeles

NonInvertible HigherCategorical Symmetries
Sakura SchaferNameki University of Oxford

’t Hooft anomalies of QFTs realized in string theory
Federico Bonetti University of Oxford

Higher Smatrices and higher modular categories
David Reutter Universität Hamburg