Speaker: Norbert PEYERIMHOFF（Durham University）

Time： February 25, 16:00-17:00 (Beijing Time)

Place： Zoom: 986 6127 8861 Passcode 980641

Title： Some applications of an improved Cheeger inequality by Kwok et al

Abstract： In 2013, Kwok, Lau, Lee, Oveis Gharan and Trevisan gave an improved Cheeger inequality in the graph theoretical setting. This inequality involves, besides the first positive eigenvalue and the Cheeger constant, also higher Laplace eigenvalues. In this talk, I will discuss this improved Cheeger inequality and present some applications of its counterpart in the smooth setting of Riemannian manifolds. The talk will cover results by Shiping Liu and also results derived in collaboration with him and Matthias Keller.