Zobrazeno 1 - 10
of 120
pro vyhledávání: '"Schlank, Tomer M"'
Autor:
Davis, Ariel, Schlank, Tomer M
A kei, or 2-quandle, is an algebraic structure one can use to produce a numerical invariant of links, known as coloring invariants. Motivated by Mazur's analogy between prime numbers and knots, we define for every finite kei $\mathcal{K}$ an analogou
Externí odkaz:
http://arxiv.org/abs/2408.05489
We compute the algebraic Picard group of the category of $K(n)$-local spectra, for all heights $n$ and all primes $p$. In particular, we show that it is always finitely generated over $\mathbb{Z}_p$ and, whenever $n \geq 2$, is of rank $2$, thereby c
Externí odkaz:
http://arxiv.org/abs/2407.20958
We compute the rational homotopy groups of the $K(n)$-local sphere for all heights $n$ and all primes $p$, verifying a prediction that goes back to the pioneering work of Morava in the early 1970s. More precisely, we show that the inclusion of the Wi
Externí odkaz:
http://arxiv.org/abs/2402.00960
At each prime $p$ and height $n+1 \ge 2$, we prove that the telescopic and chromatic localizations of spectra differ. Specifically, for $\mathbb{Z}$ acting by Adams operations on $\mathrm{BP}\langle n \rangle$, we prove that the $T(n+1)$-localized al
Externí odkaz:
http://arxiv.org/abs/2310.17459
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
Publikováno v:
Journal of the American Mathematical Society, 2024
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 finite $p$-groups. Using thi
Externí odkaz:
http://arxiv.org/abs/2309.07123
Autor:
Davis, Ariel, Schlank, Tomer M.
Given a finite quandle $Q$, we study the average number of $Q$-colorings of the closure of a random braid in $B_n$ as $n$ varies. In particular we show that this number coincides with some polynomial $P_Q\in \mathbb{Q}[x]$ for $n\gg 0$. The degree of
Externí odkaz:
http://arxiv.org/abs/2304.08314
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
We show that Lubin--Tate theories attached to algebraically closed fields are characterized among $T(n)$-local $\mathbb{E}_{\infty}$-rings as those that satisfy an analogue of Hilbert's Nullstellensatz. Furthermore, we show that for every $T(n)$-loca
Externí odkaz:
http://arxiv.org/abs/2207.09929
Autor:
Ragimov, Shaul, Schlank, Tomer M.
In this paper we prove an $\infty$-categorical version of the reflection theorem of Ad\'amek-Rosick\'y. Namely, that a full subcategory of a presentable $\infty$-category which is closed under limits and $\kappa$-filtered colimits is a presentable $\
Externí odkaz:
http://arxiv.org/abs/2207.09244