Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Carmeli, Shachar"'
Autor:
Carmeli, Shachar, Luecke, Kiran
It is well known that the $[0,1]$ and $[0,2]$ Postnikov truncations of the units of the topological $K$-theories $\glone KO$ and $\glone \KU$, respectively, are split, and that the splitting is provided by the ($\Z/2$-graded) line bundles. In this no
Externí odkaz:
http://arxiv.org/abs/2410.10126
We prove that for finitely generated abelian groups $A$ and $B$, the space of $\mathbb{E}_\infty$-ring maps between the spherical groups rings $\mathbb{S}[A] \to \mathbb{S}[B]$ is equivalent to the discrete set of group homomorphisms $A \to B$. We al
Externí odkaz:
http://arxiv.org/abs/2405.06448
Publikováno v:
International Mathematics Research Notices, 2024, rnae109
Using higher descent for chromatically localized algebraic $K$-theory, we show that the higher semiadditive cardinality of a $\pi$-finite $p$-space $A$ at the Lubin-Tate spectrum $E_n$ is equal to the higher semiadditive cardinality of the free loop
Externí odkaz:
http://arxiv.org/abs/2310.00275
Autor:
Carmeli, Shachar
We show that for a large class of connective spectra, the mapping space into the units of the $p$-complete sphere spectrum is insensitive to $L_1$-localization followed by taking connective cover.
Comment: 14 pages, comments are welcome!
Comment: 14 pages, comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2309.12734
We prove that $T(n+1)$-localized algebraic $K$-theory satisfies descent for $\pi$-finite $p$-group actions on stable $\infty$-categories of chromatic height up to $n$, extending a result of Clausen-Mathew-Naumann-Noel for $p$-groups. Using this, we s
Externí odkaz:
http://arxiv.org/abs/2309.07123
We prove that a quotient of a Nash manifold $X$ by a closed equivalence relation $R\subset X\times X$, which is submersive over $X$, yields a Nash manifold $X/R$.
Comment: 18 pages, comments are welcome
Comment: 18 pages, comments are welcome
Externí odkaz:
http://arxiv.org/abs/2304.02287
We develop a theory of generalized characters of local systems in $\infty$-categories, which extends classical character theory for group representations and, in particular, the induced character formula. A key aspect of our approach is that we utili
Externí odkaz:
http://arxiv.org/abs/2210.17364
We develop a general theory of higher semiadditive Fourier transforms that includes both the classical discrete Fourier transform for finite abelian groups at height $n=0$, as well as a certain duality for the $E_n$-(co)homology of $\pi$-finite spect
Externí odkaz:
http://arxiv.org/abs/2210.12822
Autor:
Carmeli, Shachar
We compute the connective spectra of maps from $\mathbb{Z}$ to the Picard spectra of the spherical Witt vectors associated with perfect rings of characteristic $p$. As an application, we determine the connective spectrum of maps from $\mathbb{Z}$ to
Externí odkaz:
http://arxiv.org/abs/2208.03073
Autor:
Carmeli, Shachar, Yuan, Allen
We develop a higher semiadditive version of Grothendieck-Witt theory. We then apply the theory in the case of a finite field to study the higher semiadditive structure of the $K(1)$-local sphere at the prime $2$. As a further application, we compute
Externí odkaz:
http://arxiv.org/abs/2109.12233