### Some applications of an improved Cheeger inequality

Analysis and Geometry Seminar

19th May 2022, 3:15 pm – 4:15 pm

Fry Building, 4th Floor Seminar Room

In 2013, Kwok, Lau, Lee, Oveis Gharan and Trevisan presented an improved Cheeger inequality in the graph-theoretical setting involving, besides the first positive eigenvalue also higher Laplace eigenvalues. I will discuss some applications of its counterpart in the smooth setting of Riemannian manifolds due to Shiping Liu and in collaboration with him and Matthias Keller.

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