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{\Large Department of Mathematics, BGU}

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{\Huge BGU Probability and Ergodic Theory  (PET) seminar}\\[0.2\baselineskip]

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\textbf{On} \emph{Thursday, November 29, 2018}
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\textbf{At} \emph{11:00 -- 12:00}
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\textbf{In} \emph{-101}

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{\large\scshape Daniel Luckhardt‏ 
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  (Ben-Gurion University )
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will talk about
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{\Large\bfseries Benjamini-Schramm Continuity of Normalized Characteristic numbers on Riemannian manifolds\par}
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\textsc{Abstract:}
The concept of Benjamini-Schramm convergence can be extended to Riemannian manifolds. In this setup a question frequently studied is whether topological invariants that can be expressed as integers are continuous when normalized by the volume. An example of such an invariant is the Euler characteristic, that also exists for graphs. A vast generalization of the Euler characteristic for Riemannian manifolds are characteristic numbers. I will speak on my results showing continuity of normalized characteristic numbers on a suitable class of random Riemannian manifolds defined by a lower Ricci curvature and injectivity radius bound.








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