The Experts below are selected from a list of 6933 Experts worldwide ranked by ideXlab platform
Nathaniel Stapleton - One of the best experts on this subject based on the ideXlab platform.
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
Inventiones Mathematicae, 2019Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group A, we determine the Balmer spectrum of \({\mathrm {Sp}}_A^{\omega }\), the compact objects in genuine A-spectra. This generalizes the case \(A={\mathbb {Z}}/p{\mathbb {Z}}\) due to Balmer and Sanders (Invent Math 208(1):283–326, 2017), by establishing (a corrected version of) their \(\hbox {log}_p\)-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn’s blue-Shift Theorem for Tate-constructions (Kuhn in Invent Math 157(2):345–370, 2004).
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
arXiv: Algebraic Topology, 2017Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establishing (a corrected version of) their log$_p$-conjecture for abelian groups. We work out the consequences for the chromatic type of fixed-points. We also establish a generalization of Kuhn's blue-Shift Theorem for Tate-constructions \cite{kuhn}.
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
arXiv: Algebraic Topology, 2017Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establishing (a corrected version of) their log$_p$-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn's blue-Shift Theorem for Tate-constructions \cite{kuhn}.
Tobias Barthel - One of the best experts on this subject based on the ideXlab platform.
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
Inventiones Mathematicae, 2019Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group A, we determine the Balmer spectrum of \({\mathrm {Sp}}_A^{\omega }\), the compact objects in genuine A-spectra. This generalizes the case \(A={\mathbb {Z}}/p{\mathbb {Z}}\) due to Balmer and Sanders (Invent Math 208(1):283–326, 2017), by establishing (a corrected version of) their \(\hbox {log}_p\)-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn’s blue-Shift Theorem for Tate-constructions (Kuhn in Invent Math 157(2):345–370, 2004).
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
arXiv: Algebraic Topology, 2017Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establishing (a corrected version of) their log$_p$-conjecture for abelian groups. We work out the consequences for the chromatic type of fixed-points. We also establish a generalization of Kuhn's blue-Shift Theorem for Tate-constructions \cite{kuhn}.
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
arXiv: Algebraic Topology, 2017Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establishing (a corrected version of) their log$_p$-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn's blue-Shift Theorem for Tate-constructions \cite{kuhn}.
Niko Naumann - One of the best experts on this subject based on the ideXlab platform.
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
Inventiones Mathematicae, 2019Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group A, we determine the Balmer spectrum of \({\mathrm {Sp}}_A^{\omega }\), the compact objects in genuine A-spectra. This generalizes the case \(A={\mathbb {Z}}/p{\mathbb {Z}}\) due to Balmer and Sanders (Invent Math 208(1):283–326, 2017), by establishing (a corrected version of) their \(\hbox {log}_p\)-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn’s blue-Shift Theorem for Tate-constructions (Kuhn in Invent Math 157(2):345–370, 2004).
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
arXiv: Algebraic Topology, 2017Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establishing (a corrected version of) their log$_p$-conjecture for abelian groups. We work out the consequences for the chromatic type of fixed-points. We also establish a generalization of Kuhn's blue-Shift Theorem for Tate-constructions \cite{kuhn}.
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
arXiv: Algebraic Topology, 2017Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establishing (a corrected version of) their log$_p$-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn's blue-Shift Theorem for Tate-constructions \cite{kuhn}.
Markus Hausmann - One of the best experts on this subject based on the ideXlab platform.
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
Inventiones Mathematicae, 2019Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group A, we determine the Balmer spectrum of \({\mathrm {Sp}}_A^{\omega }\), the compact objects in genuine A-spectra. This generalizes the case \(A={\mathbb {Z}}/p{\mathbb {Z}}\) due to Balmer and Sanders (Invent Math 208(1):283–326, 2017), by establishing (a corrected version of) their \(\hbox {log}_p\)-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn’s blue-Shift Theorem for Tate-constructions (Kuhn in Invent Math 157(2):345–370, 2004).
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
arXiv: Algebraic Topology, 2017Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establishing (a corrected version of) their log$_p$-conjecture for abelian groups. We work out the consequences for the chromatic type of fixed-points. We also establish a generalization of Kuhn's blue-Shift Theorem for Tate-constructions \cite{kuhn}.
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
arXiv: Algebraic Topology, 2017Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establishing (a corrected version of) their log$_p$-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn's blue-Shift Theorem for Tate-constructions \cite{kuhn}.
Justin Noel - One of the best experts on this subject based on the ideXlab platform.
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
Inventiones Mathematicae, 2019Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group A, we determine the Balmer spectrum of \({\mathrm {Sp}}_A^{\omega }\), the compact objects in genuine A-spectra. This generalizes the case \(A={\mathbb {Z}}/p{\mathbb {Z}}\) due to Balmer and Sanders (Invent Math 208(1):283–326, 2017), by establishing (a corrected version of) their \(\hbox {log}_p\)-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn’s blue-Shift Theorem for Tate-constructions (Kuhn in Invent Math 157(2):345–370, 2004).
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the balmer spectrum of the equivariant homotopy category of a finite abelian group
arXiv: Algebraic Topology, 2017Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establishing (a corrected version of) their log$_p$-conjecture for abelian groups. We work out the consequences for the chromatic type of fixed-points. We also establish a generalization of Kuhn's blue-Shift Theorem for Tate-constructions \cite{kuhn}.
-
the balmer spectrum of the equivariant homotopy category of a finite abelian group
arXiv: Algebraic Topology, 2017Co-Authors: Tobias Barthel, Niko Naumann, Justin Noel, Thomas Nikolaus, Markus Hausmann, Nathaniel StapletonAbstract:For a finite abelian group $A$, we determine the Balmer spectrum of $\mathrm{Sp}_A^{\omega}$, the compact objects in genuine $A$-spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{Z}$ due to Balmer and Sanders \cite{Balmer-Sanders}, by establishing (a corrected version of) their log$_p$-conjecture for abelian groups. We also work out the consequences for the chromatic type of fixed-points and establish a generalization of Kuhn's blue-Shift Theorem for Tate-constructions \cite{kuhn}.
