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Cohomology and Data

Special Events

Speaker: Lek-Heng Lim, University of Chicago
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Location: 1147 MSB
Start time: Thu, Apr 28 2016, 4:10PM

We will discuss how various notions of cohomology (simplicial, de Rham, singular, Cech) play a role in the analysis of data --- from ranking movies given a small set of user ratings to reconstructing the 3D-structure of a molecule given electron microscope images. This talk assumes no knowledge of cohomology. We will explain everything from scratch in terms of the Div, Grad, Curl, and various Laplacian operators on a graph; the only minor departure from vector calculus being that these operators can be take values in an arbitrary group.

Joint Mathematics/Statistics Colloquium; refreshment/reception will start at 3:30pm at 1147 MSB.