# Mathematical Sciences Research Institute

Home » AGRS The Ubiquitous Diff(S^1) Seminar Series: Neretin Polynomials and Unitary Representation of the Virasoro Algebra II

# Seminar

AGRS The Ubiquitous Diff(S^1) Seminar Series: Neretin Polynomials and Unitary Representation of the Virasoro Algebra II April 26, 2022 (03:30 PM PDT - 05:00 PM PDT)
Parent Program: The Analysis and Geometry of Random Spaces MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Wei Qian (Université Paris-Saclay)
Description No Description
Video
We use the Neretin Polynomials to define a representation of the Virasoro algebra into the Lie algebra of differential operators on $M$, where $M$ is Kirillov's space of univalent functions on the disk. If there is a measure $\mu$ on $M$ which makes this representation unitary, then the Neretin polynomials are orthogonal in $L^2(M, \mu)$.