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Cohomology and Data
Special Events| Speaker: | Lek-Heng Lim, University of Chicago |
| Related Webpage: | https://www.stat.uchicago.edu/~lekheng/ |
| 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.