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## August 2019

### Richard Rimanyi, Department of Mathematics, UNC-Chapel Hill – Applied Mathematics Colloquium

Title: Homology Abstract: The idea of homology turns up in many different areas of mathematics, in various disguises. On the occasion of its appearance in data science (under the name of "persistent homology" or "shape of data") in this talk we will explore the main underlying arguments and constructions in homology theory, with particular focus on persistent homology. The talk is aimed at mathematicians not familiar with homology (yet).

Find out more »### Matt Blair, University of New Mexico – Analysis & PDE Seminar

Title: L^p bounds for eigenfunctions at the critical exponent Abstract: We consider upper bounds on the growth of L^p norms of eigenfunctions of the Laplacian on a compact Riemannian manifold in the high frequency limit. In particular, we seek to identify geometric or dynamical conditions on the manifold which yield improvements on the universal L^p bounds of C. Sogge. The emphasis will be on bounds at the "critical exponent", where a spectrum of scenarios for phase space concentration must be…

Find out more »## September 2019

### Karen Daniels, Department of Physics, NC State – Applied Mathematics Colloquium

Title: Abstract:

Find out more »## October 2019

### William Polacheck, Joint Department of Biomedical Engineering, UNC-Chapel Hill and NC State, and Department of Cell Biology and Physiology, UNC School of Medicine – Applied Mathematics Colloquium

Title: Abstract:

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