BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Saugata Basu (Purdue) DTSTART:20200512T140000Z DTEND:20200512T150000Z DTSTAMP:20260422T225705Z UID:RAG/1 DESCRIPTION:Title: Boun ding the Vapnik-Chervonenkis density of definable families\nby Saugata Basu (Purdue) as part of Real Geometry\n\n\nAbstract\nThe notion of Vapni k-Chervonenkis density of a set system is a concept that arose\nmore-or-le ss simultaneously in probability theory\, in model theory\, and in combina torics.\nAfter giving some basic definitions and history\, I will survey s ome 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 algebraic ally closed valued fields\nand is joint work with Deepam Patel. The proof of the new result relies heavily in part on\nmodel-theoretic results of Hr ushovski and Loeser on stable dominated types.\n\nReferences.\n\n1. “VC density of definable families over valued fields”\nSaugata Basu and Deep am Patel\, to appear in the J. Eur. Math. Soc.\n\n2. ''Vapnik-Chervonenki s density:from uniform convergence to Berkovich analytification and stably dominated types’’\, blog article at https://saugatabasumath.wordpress .com.\n\nZoom link: https://sissa-it.zoom.us/j/98926079269\nMeeting ID: 98 9 2607 9269\n LOCATION:https://researchseminars.org/talk/RAG/1/ END:VEVENT END:VCALENDAR