BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250918T001429EDT-04907nHSkZ@132.216.98.100 DTSTAMP:20250918T041429Z DESCRIPTION:Title: Convexity and High-Dimensional Phenomena\n\nOnline Octob er 1\, 2021 at 11am\n\nThis lecture is aimed at a general mathematical aud ience.\n\nAbstract: High-dimensional problems with a geometric flavor appe ar in a number of branches of mathematics and mathematical physics. A prio ri\, it seems that the immense diversity observed in high dimensions would make it impossible to formulate general\, interesting theorems that apply to large classes of high-dimensional geometric objects. In this talk we w ill discuss situations in which high dimensionality\, when viewed correctl y\, induces remarkable order and simplicity rather than complication. For example\, Dvoretzky's theorem demonstrates that any high-dimensional conve x body possesses nearly-Euclidean sections of large dimension. Another exa mple is the central limit theorem for convex bodies\, according to which a ny high-dimensional convex body has approximately-Gaussian marginals. Ther e are strong motifs in high-dimensional geometry\, such as the concentrati on of measure\, which appear to compensate for the large number of differe nt configurations. Convexity allows us to harness these motifs in order to formulate elegant and non-trivial theorems.\n\nhttps://us06web.zoom.us/j/ 82247948277?pwd=RmtjbzRYaml6aHg3c1RTRFpvVXNDUT09\n\nID de réunion : 822 47 94 8277\n\nCode secret : 699575\n\n \n DTSTART:20211001T150000Z DTEND:20211001T150000Z SUMMARY:Bo’az Klarta( Weizmann Institute of Science) CRM Nirenberg Lectures in Geometric Analysis URL:/mathstat/channels/event/boaz-klarta-weizmann-inst itute-science-crm-nirenberg-lectures-geometric-analysis-333725 END:VEVENT END:VCALENDAR