Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Yanovski, Lior"'
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
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
Autor:
Yanovski, Lior
We answer a question of John Baez, on the relationship between the classical Euler characteristic and the Baez-Dolan homotopy cardinality, by constructing a unique additive common generalization after restriction to an odd prime p. This is achieved b
Externí odkaz:
http://arxiv.org/abs/2303.02603
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:
Yanovski, Lior
The number of maximal abelian subgroups of a finite p-group is shown to be congruent to 1 modulo p.
Comment: 2 pages. Comments are welcome!
Comment: 2 pages. Comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2104.11997
Autor:
Yanovski, Lior
Every right adjoint functor between presentable $\infty$-categories is shown to decompose canonically as a coreflection, followed by, possibly transfinitely many, monadic functors. Furthermore, the coreflection part is given a presentation in terms o
Externí odkaz:
http://arxiv.org/abs/2104.01816
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 semiadditive analogues of cyclotomic extensions. Combining this with a genera
Externí odkaz:
http://arxiv.org/abs/2103.02471
We introduce and study the notion of \emph{semiadditive height} for higher semiadditive $\infty$-categories, which generalizes the chromatic height. We show that the higher semiadditive structure trivializes above the height and prove a form of the r
Externí odkaz:
http://arxiv.org/abs/2007.13089
Autor:
Schlank, Tomer M., Yanovski, Lior
We extend the theory of d-categories, by providing an explicit description of the right mapping spaces of the d-homotopy category of an $\infty$-category. Using this description, we deduce an invariant $\infty$-categorical characterization of the d-h
Externí odkaz:
http://arxiv.org/abs/1902.04061