BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alex Iosevich (University of Rochester) DTSTART:20221022T133000Z DTEND:20221022T150000Z DTSTAMP:20260423T052759Z UID:YMC/41 DESCRIPTION:Title: Fin ite point configurations in discrete and continuous settings\nby Alex Iosevich (University of Rochester) as part of Yerevan Mathematical Colloqu ium\n\n\nAbstract\nWe are going to discuss the following basic question. H ow large does a subset of a given vector space need to be to ensure that i t contains vertices of a finite point configuration of a given type\, such as an equilateral simplex or a long chain? In the finite setting\, the si ze is usually measured in terms of the number of points. In the continuous setting\, the Hausdorff dimensions play this role. These types of questio ns have been studied intensively over the years by people like Bourgain Er dos\, Du\, Falconer\, Furstenberg\, Guth\, Katz\, Katznelson\, Lyall\, Mag yar\, Mattila\, Ou\, Rudnev\, Shmerikin\, Szemredi\, Tao\, Wang\, Weiss\, Zhang\, and many others. We are going to survey the known results with an emphasis on the interaction of techniques and ideas from different areas o f mathematics.\n\nPlease notice the updated start time. The talk will now start 30 min before it was earlier announced.\n LOCATION:https://researchseminars.org/talk/YMC/41/ END:VEVENT END:VCALENDAR