By Wiesława Nizioł
By Teruhisa Koshikawa
By Takeshi Saito
Automatic de Rhamness of p-adic local systems and Galois action on the pro-algebraic fundamental group
By Alexander Petrov
By Emily Riehl
Appears in collection : Logic and higher structures / Logique et structures supérieures
Many introductions to homotopy type theory and the univalence axiom neglect to explain what any of it means, glossing over the semantics of this new formal system in traditional set-based foundations. This series of talks will attempt to survey the state of the art, first presenting Voevodsky's simplicial model of univalent foundations and then touring Shulman's vast generalization, which provides an interpretation of homotopy type theory with strict univalent universes in any ∞-topos. As we will explain, this achievement was the product of a community effort to abstract and streamline the original arguments as well as develop new lines of reasoning.