skip to content

Equivariant veresion of elliptic spectra

Thursday 12th December 2002 - 09:00 to 10:00
INI Seminar Room 1
Session Title: 
Elliptic cohomology and chromatic phenomena
Let C be an elliptic curve over an affine scheme S, and let E be an even periodic ring spectrum whose associated formal group is the formal completion of C. This makes E an ``elliptic spectrum''. Now let A be a finite abelian group. We will describe what it means for an A-equivariant ring spectrum EA to be an ``equivariant version'' of E, in terms of the theory of equivariant formal groups. We will show how to construct EA when E is K(n)-local for some n. We will then give a method for recovering the general case from the K(n)-local case. The method always produces an A-spectrum EA, but it may not be well-defined or have a ring structure. We will describe some cases in which one can get around these problems.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons