Title: Hypergraph zeta functions

Speaker: Chris Storm, Dartmouth College

Abstract: In the late 1960s, Ihara began work that led to the Ihara zeta function, a zeta function which is defined on a finite graph. We give a generalization of this function to hypergraphs. This will provide a framework to tie together work by Hashimoto on zeta functions of bipartite graphs and work by Feng, Li, and Sol\'e on Ramanujan hypergraphs. We will also provide an example of viewing the hypergraph zeta function as a more specialized graph zeta function, which allows us greater flexibility in distinguishing cospectral graphs. Finally, if time is permitting, we show how the structures involved lead to a construction of cospectral digraphs. This talk should be easily accessible to graduate students.