Seminar meets on Thursdays 10:10-11:00AM CT in Vincent 570
Organizers: Vic Reiner and Anna Weigandt
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Title: Adjacency spectra for once and twice punctured hypercubes
Abstract: The eigenspaces for the adjacency matrices of hypercube graphs are well-understood. After reviewing that story, will explain how to extend it to the graphs obtained by removing a vertex or antipodal pair of vertices. This was motivated by a conjecture on zonotopes arising in the UMN Senior Honors Thesis of Laura Schoenzeit, and whose last remaining proof piece was provided by a query to ChatGPT.
(Based on arxiv:2608.27887, joint with Jang Soo Kim and Laura Schoenzeit.)
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