Spectral theory of simplicial complexes

Spectral theory of simplicial complexes

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Ori Parzanchevski, IAS
Fine Hall 224

While spectral graph theory is a well established and fortuitous field, its higher dimensional analogue is still in its infancy. I will explain some approaches to the definition of a spectral theory for simplicial complexes, their applications to combinatorial questions, and examples such as random and Ramanujan complexes.