Equivariant Elliptic Cohomology, Kan we build it?

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• Matteo Barucco (Warwick)
• Friday 07 February 2020, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Nils Prigge.

Important cohomology theories are associated to one dimensional Group Schemes. Ordinary cohomology is associated to the additive group, while K-Theory is associated to the multiplicative group. Following this correspondence it’s therefore natural to consider cohomology theories associated to elliptic curves and try to construct equivariant versions of them. One of the first applications of the algebraic models for rational S1-spectra introduced by Greenlees was the construction of an algebraic model for rational S1-equivariant elliptic cohomology. After a breezy introduction to rational G-spectra and the algebraic models for them we will construct this model discussing which aspects of the theory are reflected in the geometry of the elliptic curve.

This talk is part of the Junior Geometry Seminar series.

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