Scaling limits of the Laguerre unitary ensemble
数学专题报告
报告题目(Title)：Scaling limits of the Laguerre unitary ensemble
报告人(Speaker)：吴璇 博士 (芝加哥大学)
地点(Place)：Zoom 848 741 764 35 (pw: 123 456)
时间(Time)：2021年11月29日 (周一) 上午10:00-11:00
邀请人(Inviter)：何辉
报告摘要
In this talk, we will discuss the LUE with a focus on the scaling limits. On the hard-edge side, we construct the $\alpha$-Bessel line ensemble for all $\alpha \in \mathbb{N}_0$. This is a novel Gibbsian line ensemble that enjoys the $\alpha$-squared Bessel Gibbs property. Moreover, all $\alpha$-Bessel line ensembles can be naturally coupled together in a Bessel field, which enjoys rich integrable structures. We will also talk about work in progress on the soft-edge side, where we expect to have the Airy field as the scaling limit. This talk is based on joint works with Lucas Benigni, Pei-Ken Hung, and Greg Lawler.
