Seminarer - Side 5

Tid og sted: , B 62 NHA

I extend my 2005 AG&T paper with Bruner from the circle case to more general Lie groups.  There are new results about infinite cycles for actions by the torus T2 or the rotation group SO(3). 

Tid og sted: , B 62 NHA

I will go through the simplest case of my 2005 AG&T paper with Bruner, showing that certain classes, in the homological homotopy fixed point spectral sequence for a circle action on a commutative ring spectrum, are infinite cycles. The idea of using an universal example may lead to generalizations for actions by tori or other Lie groups. 

Tid og sted: , B 62 NHA

We show that the hermitian K-theory of regular schemes (with 2 a unit in the ring of regular functions) is represented in the A^1-homotopy category of Morel-Voevodsky by the ind-scheme of non-degenerate Grassmanians.