In 1933, lattice theory was a new subject, put forth by Garrett Birkhoff. In contrast, in 1940, it was already a mature subject, worth publishing a book on. Indeed, the first monograph, written by the same G. Birkhoff, was the result of these 7 years of working on a lattice theory. In my talk, I would like to focus on this fast development. I will present the notion of a theory not only as an actors’ category but as an historical category. Relying on that definition, I would like to focus on some collaborations around the notion of lattices. In particular, we will study lattice theory as a meeting point between the works of G. Birkhoff and two other mathematicians: John von Neumann and Marshall Stone.

**Date**: 16 June 2017, 14:00 (Friday, 8th week, Trinity 2017)**Venue**: Mathematical Institute

Woodstock Road OX2 6GGSee location on maps.ox**Details**: C2**Speaker**: Simon Decaens (Université Paris Diderot)**Organising department**: Mathematical Institute**Organiser**: Christopher Hollings (University of Oxford)**Organiser contact email address**: christopher.hollings@maths.ox.ac.uk**Host**: Christopher Hollings (University of Oxford)**Part of**: History of Mathematics Seminar**Topics**: Mathematics--History**Booking required?**: Not required**Audience**: Members of the University only- Editor: Christopher Hollings