Skip to main content

Graduate Student Colloquium

745 Patterson Office Tower
Speaker(s) / Presenter(s):
Cyrus Hettle, University of Kentucky

Title:  Derangements, discrete Morse theory, and the homology of the boolean complex

Abstract:  The boolean complex is a construction associated to finite simple graphs. We summarize a matching which shows that this complex is homotopy equivalent to a wedge of spheres, and the number of these spheres is related to the boolean number, a graph invariant. To better understand this structure, we use a correspondence between derangements and basis elements and compute the homology of the boolean complex for several specific examples. A basic knowledge of discrete Morse theory may be helpful but is not necessary.


Pizza at 4:00 p.m., talk at 4:15 p.m.

Type of Event (for grouping events):