BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Emilie Purvine DTSTART:20230609T140000Z DTEND:20230609T150000Z DTSTAMP:20260423T004141Z UID:ACPMS/22 DESCRIPTION:Title: A pplied Topology for Discrete Structures\nby Emilie Purvine as part of Algebraic and Combinatorial Perspectives in the Mathematical Sciences\n\n\ nAbstract\nDiscrete structures have a long history of use in applied mathe matics. Graphs and hypergraphs provide models of social networks\, biologi cal systems\, academic collaborations\, and much more. Network science\, a nd more recently hypernetwork science\, have been used to great effect in analyzing these types of discrete structures. Separately\, the field of ap plied topology has gathered many successes through the development of pers istent homology\, mapper\, sheaves\, and other concepts. Recent work by ou r group has focused on the convergence of these two areas\, developing and applying topological concepts to study discrete structures that model rea l data. This talk will survey our body of work in this area showing our wo rk in both the theoretical and applied spaces. Theory topics will include an introduction to hypernetwork science and its relation to traditional ne twork science\, topological interpretations of graphs and hypergraphs\, an d dynamics of topology and network structures. I will show examples of how we are applying each of these concepts to real data sets.\n LOCATION:https://researchseminars.org/talk/ACPMS/22/ END:VEVENT END:VCALENDAR