Dear all, Our upcoming AM seminar is held next Wednesday 25 October at 1pm in F07 Carslaw Lecture Theatre 373. Our speaker is Renjie Feng (University of Sydney). Talk details follow below: -------------------------------------------------------------------------------------------------------------------------------------------- Title: Determinantal point processes on spheres: Multivariate linear statistics Abstract: I will talk about the multivariate linear statistics (also known as U-statistics) of determinantal point processes on unit spheres. I will first present a graphical representation for the cumulants of the multivariate linear statistics, extending the famous Soshnikov’s formula for the univariate case. Then I will explain how we derive the 1st and 2nd Wiener chaos using this graphical representation. We computed sphere cases as introductory examples, but the method can be applied to any other determinantal point processes. This is based on the joint work with F. Goetze and D. Yao. -------------------------------------------------------------------------------------------------------------------------------------------- An ongoing list of AM seminars is posted here: https://www.maths.usyd.edu.au/u/SemConf/Applied.html See you there, Jae Min