Type: Seminar

Distribution: World

Expiry: 13 Oct 2009

Auth: jkoonin@pisa.maths.usyd.edu.au

3pm Carslaw 157 Tuesday 13th October Hi all, This Tuesday we have one speaker (John Bourke - abstract below), after which we will be having a discussion/feedback session about the postgraduate seminar. Food and drink will be provided, as usual. See you there! Justin >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>.. Speaker: John Bourke Title: The simplicial category The simplicial category is easily pictured, its objects are finite totally ordered sets (one of size n for each natural number); morphisms are order preserving functions between them. It also has higher categorical structure, for instance it is a monoidal category (has a notion of tensor product), and higher structure still (which I will discuss). The category is named after, and most well known, for its relationship with topology. I will however discuss some of its properties on the algebra side (time pending), and will mention "monads" which I study. The talk will be expository.