Seminars & Colloquia Calendar
Opinion Dynamics on Sheaves
Rob Ghrist (University of Pennsylvania)
Location: Join Zoom Meeting
Date & time: Wednesday, 11 November 2020 at 3:30PM - 4:30PM
Abstract: There is a long history of networked dynamical systems that models the spread of opinions over social networks, with the graph Laplacian playing a lead role. One of the difficulties in modelling opinion dynamics is the presence of polarization: not everyone comes to consensus. This talk will describe work joint with Jakob Hansen [OSU] introducing a new model for opinion dynamics using sheaves of vector spaces over social networks. The graph Laplacian is enriched to a Hodge Laplacian, and the resulting dynamics on *discourse sheaves* can lead to some very interesting and perhaps more realistic outcomes.