BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Faustin Adiceam (Université Paris-Est Créteil) DTSTART:20221122T130000Z DTEND:20221122T140000Z DTSTAMP:20260423T021447Z UID:OWNS/99 DESCRIPTION:Title: Ba dly approximable vectors and Littlewood-type problems\nby Faustin Adic eam (Université Paris-Est Créteil) as part of One World Numeration semin ar\n\n\nAbstract\nBadly approximable vectors are fractal sets enjoying ric h Diophantine properties. In this respect\, they play a crucial role in ma ny problems well beyond Number Theory and Fractal Geometry (e.g.\, in sign al processing\, in mathematical physics and in convex geometry). \n\nAfter outlining some of the latest developments in this very active area of res earch\, we will take an interest in the Littlewood conjecture (c. 1930) an d in its variants which all admit a natural formulation in terms of proper ties satisfied by badly approximable vectors. We will then show how ideas emerging from the mathematical theory of quasicrystals\, from numeration s ystems and from the theory of aperiodic tilings have recently been used to refute the so-called t-adic Littlewood conjecture. \n\nAll necessary conc epts will be defined in the talk. Joint with Fred Lunnon (Maynooth) and Er ez Nesharim (Technion\, Haifa).\n LOCATION:https://researchseminars.org/talk/OWNS/99/ END:VEVENT END:VCALENDAR