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Hecke operators and logarithmic cohomology operations

Thursday 12th December 2002 - 15:30 to 16:30
INI Seminar Room 1
Session Title: 
Elliptic cohomology and chromatic phenomena
We describe how the theory of unstable power operations gives rise to an action of ``Hecke operators'' on Morava's cohomology theory $E=E_n$; when $n=2$ the theory $E$ is a version of elliptic cohomology completed at a prime p, and such power operations correspond to Hecke operators on modular forms of $p$-power degree. We then interpret the formula for a certain natural logarithmic cohomology operation on $E$ in terms of such operators.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons