Department of Mathematics FAS Harvard University One Oxford Street Cambridge MA 02138 USA Tel: (617) 495-2171 Fax: (617) 495-5132

Math table Seminar of October 16, 2019

Speaker: C.J. Dowd

Title: Arborescences of regular covering graphs
Abstract: Spanning trees are fundamental objects of study in graph theory; covering spaces are fundamental objects of study in topology. The goal of this talk is to explore the interaction between these two concepts-in particular, if you know the arborescences (directed spanning trees) of a graph, how easily can you figure out what the arborescences of the covering graph look like? In this talk, we will go over what arborescences and covering graphs are and mention why we care about these objects.

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