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X-WR-CALNAME;VALUE=TEXT:Seminar: Alina Vdovina (City College of New York and Graduate Center, CUNY): "Higher dimensional digraphs from cube complexes and their spectral theory"
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SUMMARY:Seminar: Alina Vdovina (City College of New York and Graduate Center, CUNY): "Higher dimensional digraphs from cube complexes and their spectral theory"
DESCRIPTION:<p>	<drupal-media data-entity-type="media" data-entity-uuid="e20399c0-2ef7-4659-b602-08a04c386bd1" alt="Alina Vdovina" data-view-mode="hwp_small"></drupal-media><br>Zoom link: <a href="https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09">https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09</a><br>Speaker: Alina Vdovina (City College of New York and Graduate Center, CUNY)<br>Title: <strong>Higher dimensional digraphs from cube complexes and their spectral theory</strong><br>Abstract: We define k-dimensional digraphs and initiate a study of their spectral theory. The k-dimensional digraphs can be viewed as generating graphs for small categories called k-graphs. Guided by geometric insight, we obtain several new series of k-graphs using cube complexes covered by Cartesian products of trees, for k≥2. These k-graphs can not be presented as virtual products, and constitute novel models of such small categories. The constructions yield rank-k Cuntz-Krieger algebras for all k≥2. We introduce Ramanujan k-graphs satisfying optimal spectral gap property, and show explicitly how to construct the underlying k-digraphs.</p>
LOCATION:Jefferson 453 and Zoom
STATUS:CONFIRMED
DTSTART:20231114T143000Z
DTEND:20231114T143000Z
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