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Equivariant algebraic k-theory of products of motivic circles

Author: Tracy Leah Nance; Gunnar Carlsson; Søren Galatius; Ravi Vakil; Stanford University. Department of Mathematics.
Publisher: 2012.
Dissertation: Thesis (Ph. D.)--Stanford University, 2012.
Edition/Format:   Thesis/dissertation : Document : Thesis/dissertation : eBook   Computer File : English
Database:WorldCat
Summary:
Fix an algebraically closed field k of characteristic zero. We describe a method which produces deloopings of K'(k) in the Gm(k)-direction via a homotopy limit over pth power maps, and examine the outcome of analogous constructions in an equivariant setting. These constructions provide a technique for studying actions of finite groups on motivic spheres which cannot be described by a usual smash product of Gm's with  Read more...
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Details

Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Tracy Leah Nance; Gunnar Carlsson; Søren Galatius; Ravi Vakil; Stanford University. Department of Mathematics.
OCLC Number: 809038248
Notes: Submitted to the Department of Mathematics.
Description: 1 online resource.
Responsibility: Tracy Leah Nance.

Abstract:

Fix an algebraically closed field k of characteristic zero. We describe a method which produces deloopings of K'(k) in the Gm(k)-direction via a homotopy limit over pth power maps, and examine the outcome of analogous constructions in an equivariant setting. These constructions provide a technique for studying actions of finite groups on motivic spheres which cannot be described by a usual smash product of Gm's with group action.

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Primary Entity

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