E∞ ring spectra, power operations and coactions

Andy Baker (University of Glasgow)

Monday 27th January, 2014 16:00-17:00 Maths 204


E ring spectra provide one notion of 
derived commutative rings. I will explain what 
this means and then give a quick tour around some basic 
ideas about power operations resulting from this sort of 

In the case of ordinary mod p homology, the relevant 
power operations are called Dyer-Lashof operations and 
are intimately related to the homology of symmetric groups. 
I'll explain how to do calculations with these using the 
coaction of the dual Steenrod algebra. 

If time permits I'll discuss some examples which involve 
Thom spectra associated with Hopf invariant one maps.

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