Homotopy Path Algebras

Explore a 54-minute lecture on Homotopy Path Algebras delivered by David Favero from the University of Alberta at the University of Miami. Delve into a class of algebras naturally occurring in various mathematical contexts, including algebraic topology, sheaf theory, and toric geometry. Examine the general theory of these algebras and their connection to homological mirror symmetry, building upon the ideas of Bondal and Fan-Lui-Truemann-Zaslow. Gain insights into the joint work of Favero and Jesse Huang as they expand on the concept of Homotopy Path Algebras and their applications in full strong exceptional collections of line bundles.