Title: |
Localization sequences in the algebraic K-theory of ring spectra |

Speaker: |
David Gepner (Purdue University) |

Abstract: |
The algebraic K-theory of the sphere spectrum,
$K\left(S\right)$,
encodes significant information in both homotopy theory and differential
topology. In order to understand
$K\left(S\right)$,
one can apply the techniques of
chromatic homotopy theory in an attempt to approximate K(S) by certain
localizations
$K\left({L}_{n}S\right)$.
The
${L}_{n}S$
are in turn approximated by the Johnson-Wilson spectra
E(n) = BP |