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SUMMARY:Sandra Di Rocco (KTH)
DTSTART:20201015T140000Z
DTEND:20201015T150000Z
DTSTAMP:20260423T053048Z
UID:ZAG/58
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/58/">Alg
 ebraic Geometry of Data</a>\nby Sandra Di Rocco (KTH) as part of ZAG (Zoom
  Algebraic Geometry) seminar\n\n\nAbstract\nIt is often convenient to visu
 alise 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. Bottlenec
 ks 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 determinin
 g the appropriate density of a point-sample. Under suitable genericity ass
 umptions the number of bottlenecks of an affine variety is finite and we c
 all 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 join
 t work with D. Eklund and M. Weinstein.\n
LOCATION:https://researchseminars.org/talk/ZAG/58/
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