Seminar series
Date
Mon, 05 Mar 2012
Time
11:00 -
12:00
Location
L3
Speaker
James Griffin
Organisation
Cambridge
A cactus product is much like a wedge product of pointed spaces, but instead of being uniquely defined there is a moduli space of possible cactus products. I will discuss how this space can be interpreted geometrically and how its combinatorics calculates the homology of the automorphism group of a free product with no free group factors. Then I will reinterpret the moduli space with Outer space in mind: the lobes of the cacti now behave like boundaries and our free products can now include free group factors.