Dipartimetno di Matematica, Aula Seminari.<\/p>\n
An operad is a structure that consists of abstract operations, each one having a fixed finite number of inputs and one output, as well as maps defining composition laws. A coloured operad is an operad where input elements and the output are allowed to have a specific type; one can regard an ordinary category as a coloured operad whose operations are only those with one input.<\/p>\n
In this talk, I will present the constructions of different models for homotopy-coherent notions of category and operad, namely infinity-categories and infinity-operads, and I will give an account of the relation between them in terms of Quillen model categories. I will focus on some result of equivalences and expose some of the applications of this theory.<\/p>\n
Further information is available on the event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":" An operad is a structure that consists of abstract operations, each one having a fixed finite number of inputs and one output, as well as maps defining composition laws. A coloured operad is an operad where input elements and the output are allowed…<\/p>\n