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

## Parametrised homotopy theory via symmetric retractive spectraAdd to your list(s) Download to your calendar using vCal - Fabian Hebestreit (University of Bonn; Universität Augsburg)
- Tuesday 21 August 2018, 15:30-16:30
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact INI IT. 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. ## This talk is included in these lists:- All CMS events
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