Quantum information and the algebraic structure of quantum gravity
Steve Giddings University of California, Santa Barbara
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.
Steve Giddings University of California, Santa Barbara
Achim Kempf University of Waterloo
Robert Myers Perimeter Institute for Theoretical Physics
Tim Koslowski Universidad Nacional Autónoma De Mexico (UNAM)
Daniel Terno Macquarie University
Lee Smolin Perimeter Institute for Theoretical Physics
Robert Spekkens Perimeter Institute for Theoretical Physics
Lucien Hardy Perimeter Institute for Theoretical Physics
Markus Müller Institute for Quantum Optics and Quantum Information (IQOQI) - Vienna
Philipp Hoehn Okinawa Institute of Science and Technology Graduate University
David Jennings Imperial College London
Howard Barnum University of New Mexico