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SUMMARY:Saugata Basu (Purdue)
DTSTART:20200512T140000Z
DTEND:20200512T150000Z
DTSTAMP:20260404T145132Z
UID:RAG/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/RAG/1
 /">Bounding the Vapnik-Chervonenkis density of definable families</a>\nby 
 Saugata Basu (Purdue) as part of Real Geometry\n\n\nAbstract\nThe notion o
 f Vapnik-Chervonenkis density of a set system is a concept that arose\nmor
 e-or-less simultaneously in probability theory\, in model theory\, and in 
 combinatorics.\nAfter giving some basic definitions and history\, I will s
 urvey some old and new results on obtaining\ntight quantitative bounds on 
 the VC-density of definable families in various structures and\nexplain a 
 common topological underpinning in the proofs of these results. The ``new 
 result'' is a tight\nbound on the VC-density of definable families over al
 gebraically closed valued fields\nand is joint work with Deepam Patel. The
  proof of the new result relies heavily in part on\nmodel-theoretic result
 s of Hrushovski and Loeser on stable dominated types.\n\nReferences.\n\n1.
  “VC density of definable families over valued fields”\nSaugata Basu a
 nd Deepam Patel\, to appear in the J.  Eur. Math. Soc.\n\n2. ''Vapnik-Cher
 vonenkis density:from uniform convergence to Berkovich analytification and
  stably dominated types’’\, blog article at https://saugatabasumath.wo
 rdpress.com.\n\nZoom link: https://sissa-it.zoom.us/j/98926079269\nMeeting
  ID: 989 2607 9269\n
LOCATION:https://stable.researchseminars.org/talk/RAG/1/
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