BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Chengyang Wu (University of Chicago) DTSTART:20261022T173000Z DTEND:20261022T183000Z DTSTAMP:20261027T011216Z UID:NEDNT/110 DESCRIPTION:Title: Winning property of counterexamples to Uniform Littlewood’s Conjecture\nby Chengyang Wu (University of Chicago) as part of New England Dynamic s and Number Theory Seminar\n\nLecture held in Online.\n\nAbstract\nLittle wood’s conjecture is a long-standing open problem in multiplicative Diop hantine approximation. Its uniform version was recently disproved by Schle ischitz\, as expected by Bandi\, Fregoli\, and Kleinbock in 2025. A natura l follow-up question concerns the Hausdorff dimension of the set of its co unterexamples. In this talk\, we present a new approach to studying the st ructure of this set and establish a winning property for it. The key ingre dient is an adaptation of An’s simplex lemma (2016). In particular\, our result implies that\, for any two-dimensional weight\, the intersection o f the counterexample set with the corresponding set of weighted badly appr oximable vectors has full Hausdorff dimension. This is a joint work with V asiliy Neckrasov and Bohan Yang.\n LOCATION:https://researchseminars.org/talk/NEDNT/110/ END:VEVENT END:VCALENDAR