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On Moduli of Quiver Representations and Applications to Geometry – Patricio Gallardo (University of California, Riverside)

The moduli of quiver representations, i.e. tuples of line maps arranged per a prescribed directed graph, serve as a key tool within geometry and representation theory. In this talk, we will describe their structure and explore their applications to…

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Why Markman saves the Hodge conjecture for Weil type cycles from Kontsevich (in dimension 4) – Patrick Brosnan (University of Maryland)

I’ll explain two opposing pieces of work:  (1) Markman’s proof of theHodge conjecture for general Weil type abelian fourfolds of discriminant 1, and (2) Kontsevich’s tropical approach to finding a counterexample to the Hodgeconjecture for Weil type…

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Persistent homology in action: bridging topology and machine learning – Davide Moroni (CNR, Pisa)

Based on recent advances in representations based on topological descriptors, the talk will discuss how to leverage persistent homology for dealing with classification tasks of digital data. Applications to biomedical signal processing will be given…

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