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Conferència ‘On linear quasicategories’ per part de Matias L. del Hoyo (Universidade Federal Fluminense)

Feb 1, 2019


Matias L. del Hoyo (Universidade Federal Fluminense)
Dilluns, 4 de febrer, a les 12.00, a l’aula T2
Facultat de Matemàtiques i Informàtica de la UB
Títol: On linear quasicategories
Abstract: The classical Dold-Kan correspondence establishes an equivalence between chain complexes and simplicial vector spaces. A linear version of the Grothendieck correspondence allows us to regard pseudofunctors in the category of categorical vector spaces as certain linear groupoid fibrations. In this talk I will review these two correspondences, explain how they can be combined, and comment on an ongoing joint project with G. Trentinaglia, in which we generalize these results within the framework of differential geometry, using the language of linear quasicategories.