Search Results - "Goerss, Paul G."

Dualizing spheres for compact p-adic analytic groups and duality in chromatic homotopy by Beaudry, Agnès, Goerss, Paul G., Hopkins, Michael J., Stojanoska, Vesna

“…The primary goal of this paper is to study Spanier–Whitehead duality in the K ( n )-local category. One of the key players in the K ( n )-local category is the…”
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Constructing the determinant sphere using a Tate twist by Barthel, Tobias, Beaudry, Agnès, Goerss, Paul G., Stojanoska, Vesna

“…Following an idea of Hopkins, we construct a model of the determinant sphere S ⟨ det ⟩ in the category of K ( n )-local spectra. To do this, we build a…”
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Topological resolutions in K(2)‐local homotopy theory at the prime 2 by Bobkova, Irina, Goerss, Paul G.

“…We provide a topological duality resolution for the spectrum E2hS21, which itself can be used to build the K(2)‐local sphere. The resolution is built from…”
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The Brown–Comenetz dual of the K(2)-local sphere at the prime 3 by Goerss, Paul G., Henn, Hans-Werner

“…We calculate the homotopy type of the Brown–Comenetz dual I2 of the K(2)-local sphere at the prime 3 and show that there is an equivalence in the K(2)-local…”
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Simplicial chains over a field andp-local homotopy theory by Goerss, Paul G.

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The rational homotopy of the $K(2)$-local sphere and the chromatic splitting conjecture for the prime 3 and level 2 by Goerss, Paul G., Henn, Hans-Werner, Mahowald, Mark

“…We calculate the rational homotopy of the K(2) -local sphere L_{K(2)}S^0 at the prime 3 and confirm Hopkins' chromatic splitting conjecture for p=3 and n=2 …”
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Comparing Dualities in the $K(n)$-local Category by Goerss, Paul G, Hopkins, Michael J

“…In their work on the period map and the dualizing sheaf for Lubin-Tate space, Gross and the second author wrote down an equivalence between the…”
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Topological resolutions in K(2)-local homotopy theory at the prime 2 by Bobkova, Irina, Goerss, Paul G

“…Journal of Topology, 11 (2018), No 4, 917-956 We provide a topological duality resolution for the spectrum $E_2^{h\mathbb{S}_2^1}$, which itself can be used to…”
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The Exotic $K(2)$-Local Picard Group at the Prime $2 by Beaudry, Agnes, Bobkova, Irina, Goerss, Paul G, Henn, Hans-Werner, Pham, Viet-Cuong, Stojanoska, Vesna

“…We calculate the group $\kappa_2$ of exotic elements in the $K(2)$-local Picard group at the prime $2$ and find it is a group of order $2^9$ isomorphic to…”
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Cohomology of the Morava stabilizer group through the duality resolution at $n=p=2 by Beaudry, Agnes, Bobkova, Irina, Goerss, Paul G, Henn, Hans-Werner, Pham, Viet-Cuong, Stojanoska, Vesna

“…We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava $E$-theory, $H^*(\mathbb{G}_2, E_t)$, at $p=2$, for $0\leq t <…”
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Dualizing spheres for compact $p$-adic analytic groups and duality in chromatic homotopy by Beaudry, Agnès, Goerss, Paul G, Hopkins, Michael J, Stojanoska, Vesna

“…The primary goal of this paper is to study Spanier-Whitehead duality in the $K(n)$-local category. One of the key players in the $K(n)$-local category is the…”
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Topology: A Geometric Approach by Goerss, Paul G.

“…In presence of a burgeoning number of REU and VIGRE programs and other student research opportunities, and under pressure from deans who value the…”
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Constructing the determinant sphere using a Tate twist by Barthel, Tobias, Beaudry, Agnès, Goerss, Paul G, Stojanoska, Vesna

“…Following an idea of Hopkins, we construct a model of the determinant sphere $S\langle det \rangle$ in the category of $K(n)$-local spectra. To do this, we…”
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Reviews by Folland, Gerald B., Goerss, Paul G., Wood, Carol, Eisner, L.

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Reviews by Folland, Gerald B., Goerss, Paul G., Wood, Carol, Eisner, L.

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Chromatic splitting for the $K(2)$-local sphere at $p=2 by Beaudry, Agnes, Goerss, Paul G, Henn, Hans-Werner

“…Geom. Topol. 26 (2022) 377-476 We calculate the homotopy type of $L_1L_{K(2)}S^0$ and $L_{K(1)}L_{K(2)}S^0$ at the prime 2, where $L_{K(n)}$ is localization…”
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Topological modular forms (aftern Hopkins, Miller, and Lurie) by Goerss, Paul G

“…This is the companion article to the Bourbaki talk of the same name given in March 2009. The main theme of the talk and the article is to explain the interplay…”
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Realizing Families of Landweber Exact Homology Theories by Goerss, Paul G

“…I discuss the problem of realizing families of complex orientable homology theories as families of commutative ring spectra, including a recent result of Jacob…”
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The Brown-Comenetz dual of the K(2)-local sphere at the prime 3 by Goerss, Paul G, Henn, Hans-Werner

“…We calculate the homotopy type of the Brown-Comenetz dual $I_2$ of the K(2)-local sphere at the prime 3 and show that there is a twisting by a non-trivial…”
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The homology of homotopy inverse limits by Goerss, Paul G.

“…The homology of a homotopy inverse limit can be studied by a spectral sequence which has as the E 2 term the derived functor of limit in the category of…”
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