Yuri Berest, Cornell University
In 1982, I. G. Macdonald published a series of beautiful combinatorial conjectures related to classical root systems (or equivalently, compact Lie groups). These conjectures were in the focus of research in representation theory and geometry for over 30 years. In the early 1990s,…
Mulase Motohico, UC Davis
Quantum curves are conceived in physics literature. They are linear differential or difference equations in one variable, and sometimes a mixture of them. These are Weyl quantization of spectral curves appearing in different contexts of mathematics, such as integrable systems, random matrix theory, and…