University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Spaces and cochains -- yet another approach

Spaces and cochains -- yet another approach

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact info@newton.ac.uk.

HHH - Homotopy harnessing higher structures

&nbsp;Rationally, the homotopy type of any reasonable space is completely determined by (a minimal model of) the Sullivan cochain algebra of the space. If you want to be non-rational, then Mandell's result says that the $E_\infty$-algebra structure of the cochains determines the homotopy type. In joint work with Steffen Sagave we construct a strictly commutative model of the cochains of a space using the diagram category of finite sets and injections in order to free things up. We show that this cochain algebra determines the homotopy type of (finite type, nilpotent) spaces<br><br><br><br><br>

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2018 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity