Ambidexterity and height
S Carmeli, TM Schlank, L Yanovski - Advances in Mathematics, 2021 - Elsevier
We introduce and study the notion of semiadditive height for higher semiadditive∞-
categories, which generalizes the chromatic height. We show that the higher semiadditive …
categories, which generalizes the chromatic height. We show that the higher semiadditive …
Chromatic cyclotomic extensions
S Carmeli, TM Schlank, L Yanovski - arXiv preprint arXiv:2103.02471, 2021 - arxiv.org
We construct Galois extensions of the T (n)-local sphere, lifting all finite abelian Galois
extensions of the K (n)-local sphere. This is achieved by realizing them as higher …
extensions of the K (n)-local sphere. This is achieved by realizing them as higher …
On the parametrized Tate construction
JD Quigley, J Shah - arXiv preprint arXiv:2110.07707, 2021 - arxiv.org
We introduce and study a genuine equivariant refinement of the Tate construction
associated to an extension $\widehat {G} $ of a finite group $ G $ by a compact Lie group …
associated to an extension $\widehat {G} $ of a finite group $ G $ by a compact Lie group …
On the strict Picard spectrum of commutative ring spectra
S Carmeli - Compositio Mathematica, 2023 - cambridge.org
On the strict Picard spectrum of commutative ring spectra Page 1 On the strict Picard
spectrum of commutative ring spectra Shachar Carmeli Compositio Math. 159 (2023), 1872–1897 …
spectrum of commutative ring spectra Shachar Carmeli Compositio Math. 159 (2023), 1872–1897 …
Examples of chromatic redshift in algebraic -theory
A Yuan - arXiv preprint arXiv:2111.10837, 2021 - arxiv.org
We give a simple argument to detect chromatic redshift in the algebraic $ K $-theory of
$\mathbb {E} _ {\infty} $-ring spectra and give two applications: we show for $ n\geq 1$ that …
$\mathbb {E} _ {\infty} $-ring spectra and give two applications: we show for $ n\geq 1$ that …
Higher semiadditive Grothendieck-Witt theory and the 𝐾 (1)-local sphere
S Carmeli, A Yuan - Communications of the American Mathematical Society, 2023 - ams.org
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) …
theory in the case of a finite field to study the higher semiadditive structure of the $ K (1) …
The sphere of semiadditive height 1
A Yuan - International Mathematics Research Notices, 2024 - academic.oup.com
We construct a lift of the-complete sphere to the universal height higher semiadditive stable-
category of Carmeli–Schlank–Yanovski, providing a counterexample, at height, to their …
category of Carmeli–Schlank–Yanovski, providing a counterexample, at height, to their …
Motivic spectral Mackey functors
T Bachmann - arXiv preprint arXiv:2205.13926, 2022 - arxiv.org
We show that if G is a finite constant group acting on a scheme X such that the order of G is
invertible in the residue fields of X, then the G-equivariant motivic stable homotopy category …
invertible in the residue fields of X, then the G-equivariant motivic stable homotopy category …
Maps between spherical group rings
S Carmeli, T Nikolaus, A Yuan - arXiv preprint arXiv:2405.06448, 2024 - arxiv.org
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] …
{E} _\infty $-ring maps between the spherical groups rings $\mathbb {S}[A]\to\mathbb {S}[B] …
On the Non-Existence of J-Homomorphisms of Higher Height
S Carmeli - arXiv preprint arXiv:2309.12734, 2023 - arxiv.org
On the Non-Existence of J-Homomorphisms of Higher Height Page 1 arXiv:2309.12734v1 [math.AT]
22 Sep 2023 ON THE NON-EXISTENCE OF J-HOMOMORPHISMS OF HIGHER HEIGHT …
22 Sep 2023 ON THE NON-EXISTENCE OF J-HOMOMORPHISMS OF HIGHER HEIGHT …