BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Anlong Chua DTSTART:20220504T140000Z DTEND:20220504T153000Z DTSTAMP:20260422T220542Z UID:STAGE/57 DESCRIPTION:Title: U nlikely intersection theory and the Ax-Schanuel theorem\nby Anlong Chu a as part of STAGE\n\nLecture held in Room 2-449 in the MIT Simons Buildin g.\n\nAbstract\nCounting dimensions heuristically tells us whether geometr ic objects are "likely" or "unlikely" to intersect. For instance\, Bezout' s theorem tells us that two curves in $\\mathbb{P}^2$ always intersect. On the other hand\, two curves in $\\mathbb{P}^3$ are unlikely to intersect. In number theory\, one is often concerned with unlikely intersection prob lems — for example\, when does a subvariety of an abelian variety contai n many torsion points?\n\nIn this talk\, I will try to explain the connect ions between functional transcendence\, unlikely intersections\, and numbe r theory. Time permitting\, I will discuss the answer to the question pose d above and more. On our journey\, we will pass through the fascinating wo rld of o-minimality\, which I hope to describe in broad strokes.\n LOCATION:https://researchseminars.org/talk/STAGE/57/ END:VEVENT END:VCALENDAR