Talk page

Title:
KP integrability of triple Hodge integrals

Speaker:
Alexander Aleksandrov

Abstract:
Enumerative geometry invariants are closely related to integrable systems. In particular, unexpectedly often the generating functions of the enumeration geometry invariants are tau-functions of integrable hierarchies of KP type. In my talk, I will describe the identification of the generating function of the triple Hodge integrals satisfying the Calabi-Yau condition with a tau-function of the KP hierarchy. In this identification, an infinite-dimensional group acting on the space of the solutions of the KP hierarchy plays an important role. The corresponding cubic cut-and-join description will also be constructed.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=5408

Workshop:
Simons- Program: Integrability, enumerative geometry and quantization