University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Parametrised homotopy theory via symmetric retractive spectra

Parametrised homotopy theory via symmetric retractive spectra

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

I shall explain a new framework for parametrised homotopy theory, based on symmetric spectra objects in retractive spaces. In contrast to previous model categorical frameworks it encompasses a well-behaved symmetric monoidal structure, that models the Day-convolution present in the quasi-categorical set-up. As a small application I will give a simple proof, that K-theory as defined through stable homotopy theory agrees with the original geometric construction (even as highly structured objects), a fact that seems to be missing from the literature so far.

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.

 

© 2006-2020 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity