BEGIN:VCALENDAR PRODID:-//Department of Mathematics and Statistics//Events Calendar//EN VERSION:2.0 CALSCALE:GREGORIAN BEGIN:VEVENT DTSTAMP:20200813T123352Z DTSTART:20190924T173000Z DTEND:20190924T183000Z SUMMARY:ATCAT Seminar DESCRIPTION:Speaker: Geoffrey Cruttwell (Mount Allison University)\n\n\nTitle: Vector fields and flows\, categorically\n\n\n\n\n\nAbstract: \n\n\nIn this series of three talks\, we'll investigate how to define and work with the idea of vector fields and their associated flows in the setting of a tangent\ncategory.  Tangent categories are categories equipped with an abstract version of the tangent bundle for smooth manifolds\; as such\, vector fields are easy to define in this setting.  However\, to talk about their associated flows requires more care: we need\nan object "which uniquely solves ordinary differential equations" in the tangent category.  We'll investigate this idea\, and then focus in particular on how considering tangent categories of vector fields and flows gives us a new perspective on commutation\nof vector fields and flows.  If time permits\, we will also consider flows for linear vector fields in this abstract setting.  \n\n\n\n\n\n\nThis is based on joint work with Robin Cockett\, JS Lemay\, and Rory Lucyshyn-Wright.\n \n \n\nContact Information: LOCATION:Chase 319 URL: UID: END:VEVENT END:VCALENDAR