Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.784692
Title: Equivariant Gorenstein duality
Author: Kodjabachev, Dimitar
ISNI:       0000 0004 7970 2397
Awarding Body: University of Sheffield
Current Institution: University of Sheffield
Date of Award: 2018
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Abstract:
This thesis concerns the study of two flavours of duality that appear in stable homotopy theory and their equivariant reformulations. Concretely, we look at the Gorenstein duality framework introduced by Dwyer, Greenlees and Iyengar and the more classical notion of Anderson duality. We study examples of ring spectra that exhibit these duality phenomena, both non-equivariantly and equivariantly, coming from the ring spectra of topological modular forms. Along the way, connecting the work of Greenlees, Meier and Stojanoska we make contact with Serre duality phenomena that arise in derived algebraic geometry and record an unexpected interlace of Anderson, Gorenstein and Serre duality.
Supervisor: Greenlees, J. P. C. Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.784692  DOI: Not available
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