Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Irakli Patchkoria"'
Autor:
Christopher Davis, Irakli Patchkoria
Publikováno v:
International Mathematics Research Notices. 2022:13897-13983
Fix an odd prime $p$. The results in this paper are modeled after work of Hesselholt and Hesselholt–Madsen on the $p$-typical absolute de Rham–Witt complex in mixed characteristic. We have two primary results. The 1st result is an exact sequence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25324a1fadbd484886e2cc186e8fcd07
https://doi.org/10.1093/imrn/rnab092
https://doi.org/10.1093/imrn/rnab092
Autor:
Constanze Roitzheim, Irakli Patchkoria
Publikováno v:
Mathematische Zeitschrift. 295:839-875
We prove that the $v_1$-local $G$-equivariant stable homotopy category for $G$ a finite group has a unique $G$-equivariant model at $p=2$. This means that at the prime $2$ the homotopy theory of $G$-spectra up to fixed point equivalences on $K$-theor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86af0ef091703aa3763cff05cd326122
https://doi.org/10.1007/s00209-019-02364-z
https://doi.org/10.1007/s00209-019-02364-z
View the abstract.
Publikováno v:
Journal of the European Mathematical Society
Funding Information: Acknowledgments. The authors would like to thank the Hausdorff Research Institute for Mathematics in Bonn for their hospitality during the Junior Trimester Program in Topology in 2016. Much of the work on this paper was carried o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d4e96caabe86abd6333efba1e7223b6
http://wrap.warwick.ac.uk/137848/1/WRAP-real-topological-Hochschild-homology-Dotto-2020.pdf
http://wrap.warwick.ac.uk/137848/1/WRAP-real-topological-Hochschild-homology-Dotto-2020.pdf
Autor:
Irakli Patchkoria
Publikováno v:
Bulletin of the London Mathematical Society. 49:1085-1099
Using Franke's methods we construct new examples of exotic equivalences. We show that for any symmetric ring spectrum $R$ whose graded homotopy ring $\pi_*R$ is concentrated in dimensions divisible by a natural number $N \geq 5$ and has homological d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d7bebc80c7b1b23083676e7c3224210
https://doi.org/10.1112/blms.12105
https://doi.org/10.1112/blms.12105
We compute the spectrum of the category of derived Mackey functors (in the sense of Kaledin) for all finite groups. We find that this space captures precisely the top and bottom layers (i.e. the height infinity and height zero parts) of the spectrum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44b5b99f687faccc81c0255a325025bc
Let $\pi$ be a group equipped with an action of a second group $G$ by automorphisms. We define the equivariant cohomological dimension ${\sf cd}_G(\pi)$, the equivariant geometric dimension ${\sf gd}_G(\pi)$, and the equivariant Lusternik-Schnirelman
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::696c6f7f94f5dccbddbaedf7acfe8cd0
http://arxiv.org/abs/1912.01692
http://arxiv.org/abs/1912.01692
We show that various flavors of Witt vectors are functorial with respect to multiplicative polynomial laws of finite degree. We then deduce that the $p$-typical Witt vectors are functorial in multiplicative polynomial maps of degree at most $p-1$. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b249da9d65568b24fea1475d1634ac9b
http://arxiv.org/abs/1901.02195
http://arxiv.org/abs/1901.02195
Publikováno v:
Journal of Topology, 12, 1146-1173
Journal of Topology, 12, 4, pp. 1146-1173
Journal of Topology, 12, 4, pp. 1146-1173
The topological Hochschild homology $THH(A)$ of an orthogonal ring spectrum $A$ can be defined by evaluating the cyclic bar construction on $A$ or by applying B\"okstedt's original definition of $THH$ to $A$. In this paper, we construct a chain of st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8c06fca03191459f4998487f27e3e3a
http://hdl.handle.net/2066/207628
http://hdl.handle.net/2066/207628
Autor:
Irakli Patchkoria
We prove that for an odd prime p, the derived category D ( K U ( p ) ) of the p-local complex periodic K-theory spectrum K U ( p ) is triangulated equivalent to the derived category of its homotopy ring π ⁎ K U ( p ) . This implies that if p is an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08fed55fa10004082ca221cb35599e6e
http://arxiv.org/abs/1603.04681
http://arxiv.org/abs/1603.04681