Título: Algebraic Geometry of Data

Palestrante: Sandra Di Rocco - KTH
Data: 15 October 2020 (Thursday)
Hora: 14:00 GMT (11h BRT)
Local: Transmissão online

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Resumo: It is often convenient to visualise algebraic varieties (and hence systems of polynomial equations) by sampling. The key challenge is to have the right distribution and density in order to recover the shape, i.e the topology of the variety. Bottlenecks are pairs of points on the variety joined by a line which is normal to the variety at both points. These points play a special role in determining the appropriate density of a point-sample. Under suitable genericity assumptions the number of bottlenecks of an affine variety is finite and we call it the bottleneck degree. We show that it is determined by (classical) invariants of the variety, i.e. polar classes. The talk is based on joint work with D. Eklund and M. Weinstein.

Host: Alicia Dickenstein
Zoom ID: 991 849 3831
Password: October