# The Grothendieck -Teichmuller lie algebra and homotopy equivalences of configuration spaces

Thursday, October 20, 2016 -

3:00pm to 4:00pm

The Grothendieck - Teichmuller Lie algebra grt is a Lie algebra, over the rational numbers Q, which is clearly very interesting and equally clearly not very well-understood. It crops up in many different areas of mathematics. In this talk I will explain how the Lie algebra grt is related to the space of homotopy equivalences of the configuration spaces F(k, R^n) and F(k, S^n). Here F(k,X) is the space of k distinct ordered points in the topological space X. Much of the talk will be devoted to explaining, in as concrete a way as possible, the background needed for the statements of the results. I will also try to explain one or two of the key ideas in the proofs.

Speaker:

John Jones

Warwick University

Event Location:

Fine Hall 322