Generalized Hypergeometric Functions and Integrable Hydrodynamic Type Equations -

Generalized Hypergeometric Functions and Integrable Hydrodynamic Type Equations

Time: 2023-03-28 Published By: Wenqiong Li

Speaker(s): Yuji Kodama (Shandong University of Science and Technology and Ohio State University)

Time: 14:00-15:00 March 31, 2023

Venue: Room 29, Quan Zhai, BICMR

We construct a new class of integrable hydrodynamic-type systems governing the dynamics of the critical points of confluent Lauricella-type functions defined on finite-dimensional Grassmannian Gr(2, n). These confluent functions satisfy certain degenerate Euler–Poisson– Darboux equations.