New exact results for open enumerative invariants

Abstract: Problems that involve bordered pseudoholomorphic curves with boundary on a Lagrangian submanifold in a Calabi-Yau 3-fold are usually called "open enumerative invariants." The analysis involved in such problems is extremely rich and interesting, which makes the study of open enumerative invariants challenging and complicated. Yet, over the past 30 years a lot of progress has been made, in part due to various "dualities" --- such as mirror symmetry --- that relate open enumerative problems to questions in other areas of mathematics. After a short survey of past developments, I will present a new class of Calabi-Yau 3-folds with Lagrangian submanifolds where the problem can be solved completely thanks to a new connection with quantum groups at generic values of the parameter q.

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