Integrable Systems and mirror symmetry in probability theory and combinatorics

Abstract: We will first explain how any moment sequence leads to a sequence of tau-functions of the KP hierarchy, which can be interpreted in terms of weighted counts of nonintersecting lattice paths. We will also explain how various lattice counting problems and some other problems in combinatorics lead to  probability measures on the real line, and surprising mirror symmetry among them.

HEP - theorymathematical physicsalgebraic geometrycombinatoricsexactly solvable and integrable systems

Audience: researchers in the discipline

IBS-CGP Mathematical Physics Seminar

Series comments: Registration is required at cgp.ibs.re.kr/activities/talkregistration