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:20260423T004914Z UID:HAC/7 DESCRIPTION:Title: Conf igurations of monopoles and branch points\nby Ulrike Tillmann (Univers ity of Oxford) as part of Heilbronn Annual Conference 2020\n\n\nAbstract\n Point-particles moving in a background space are mathematically modelled b y configurations spaces. Data associated to the particles are incorporate d by giving the configurations labels in a suitable state space. These spa ces have seen much attention in topology starting with work of McDuff and Segal in the 1970s. In classical field theory\, however\, point-particles interact with fields\, and mathematically these give rise to functions on the complement of a configuration\, and thus to what we call 'configurati on mapping spaces'. The moduli space of magnetic monopoles provides one su ch example. Another family of examples is given by branched covering spac es of the complex plane with prescribed holonomy \, also known as Hurwitz spaces and were the object of study in Ellenberg\, Venkatesh and Westerla nd 's celebrated work on the Cohen-Lenstra heuristics. \n\nIn joint work w ith Martin Palmer we extend their results to configuration mapping spaces of higher dimensional manifolds and most general 'fields'.\n LOCATION:https://researchseminars.org/talk/HAC/7/ END:VEVENT END:VCALENDAR