BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ulrike Tillmann (University of Oxford) DTSTART:20200911T143000Z DTEND:20200911T152500Z DTSTAMP:20260404T150745Z UID:HAC/7 DESCRIPTION:Title: Configurations of monopoles and branch points\nby Ulrike Tillmann ( University of Oxford) as part of Heilbronn Annual Conference 2020\n\n\nAbs tract\nPoint-particles moving in a background space are mathematically mod elled by configurations spaces. Data associated to the particles are inco rporated by giving the configurations labels in a suitable state space. Th ese spaces have seen much attention in topology starting with work of McDu ff and Segal in the 1970s. In classical field theory\, however\, point-par ticles interact with fields\, and mathematically these give rise to functi ons on the complement of a configuration\, and thus to what we call 'conf iguration mapping spaces'. The moduli space of magnetic monopoles provides one such example. Another family of examples is given by branched coveri ng spaces of the complex plane with prescribed holonomy \, also known as Hurwitz spaces and were the object of study in Ellenberg\, Venkatesh and W esterland 's celebrated work on the Cohen-Lenstra heuristics. \n\nIn joint work with Martin Palmer we extend their results to configuration mapping spaces of higher dimensional manifolds and most general 'fields'.\n LOCATION:https://stable.researchseminars.org/talk/HAC/7/ END:VEVENT END:VCALENDAR