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Graduate Seminar
Clive Newstead Carnegie Mellon University Title: Species, Structures and Stuff Abstract: Species facilitate the abstract study of structures on (finite) sets, such as graphs and orderings. This talk will serve as an introduction to species, including operations on species and generating series of species, which together provide a means of counting the number of structures of a given kind on a finite set. Time permitting, we'll give a very slick proof of Cayley's formula for the number of labelled trees on a set of size n. If even more time permits (unlikely), we'll take a brief excursion in logic, highlighting the distinction between 'property', 'structure' and 'stuff', and the corresponding generalisation of species to the notion of 'stuff type'. Date: Tuesday, January 19, 2016 Time: 5:30 pm Location: Wean Hall 8220 Submitted by: Yangxi Ou Note: Video on Youtube: https://youtu.be/fGsP62E91ng PDF Notes: http://math.cmu.edu/~cnewstea/talks/20160119.pdf 