First of all, I will give an overview of what the
phenomenon of homological stability is and why it's useful, with plenty
of examples. I will then introduce configuration spaces -- of various
different kinds -- and give an overview of what is known about their
homological stability properties. A "configuration" here can be more
than just a finite collection of points in a background space: in
particular, the points may be equipped with a certain non-local
structure (an "orientation"), or one can consider unlinked
embedded copies of a fixed manifold instead of just points. If by some
miracle time permits, I may also say something about homological
stability with local coefficients, in general and in particular for
configuration spaces.
Seminar series
Date
Wed, 13 Feb 2013
Time
16:00 -
17:00
Location
SR2
Speaker
Martin Palmer
Organisation
University of Oxford