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Teena Gerhardt
Towards an RO(S^1)-graded Witt Complex
Abstract:
Understanding fixed point spectra of topological Hochschild
homology can aid in algebraic K-theory computations. Taking homotopy
groups of such spectra we arrive at TR groups, an integer-graded
theory that fits into a rigid algebraic structure, namely a Witt
complex. In this talk we will review this classical TR theory, and
introduce RO(S^1)-graded TR groups. We will then address the question
of how to define the RO(S^1)-graded analog of a Witt complex. We
conclude by describing explicit computations of the RO(S^1)-graded TR
theory of F_p.
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