Decategorifying the singular support of coherent sheaves
Kendric Schefers The University of Texas at Austin
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.
Kendric Schefers The University of Texas at Austin
Michael Shapiro Michigan State University (MSU)
Yan Soibelman Kansas State University
Boris Khesin University of Toronto
Sanath Devalapurkar Harvard University
Niklas Garner University of Washington
Owen Gwilliam University of Massachusetts Amherst
Ahsan Khan Institute for Advanced Study (IAS)
Joel Kamnitzer University of Toronto