Generalised Langlands, VOAs, and (generalised) tau-functions
Joerg Teschner Deutsches Elektronen-Synchrotron, DESY - Theory Group
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.
Joerg Teschner Deutsches Elektronen-Synchrotron, DESY - Theory Group
Justin Hilburn Perimeter Institute for Theoretical Physics
Mykola Dedushenko Stony Brook University
Fei Yan Rutgers University
Andrei Okounkov Columbia University
Mykola Dedushenko Stony Brook University
Davide Gaiotto Perimeter Institute for Theoretical Physics
Lev Rozansky University of North Carolina - Chapel Hll
Justin Hilburn Perimeter Institute for Theoretical Physics
Philsang Yoo Seoul National University
Andrei Okounkov Columbia University