Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Meier, Lennart"'
In this paper, we prove a transchromatic phenomenon for Hill--Hopkins--Ravenel and Lubin--Tate theories. This establishes a direct relationship between the equivariant slice spectral sequences of height-$h$ and height-$(h/2)$ theories. As application
Externí odkaz:
http://arxiv.org/abs/2403.00741
In this paper, we construct a stratification tower for the equivariant slice filtration. This tower stratifies the slice spectral sequence of a $G$-spectrum $X$ into distinct regions. Within each of these regions, the differentials are determined by
Externí odkaz:
http://arxiv.org/abs/2310.12105
Autor:
Hausmann, Markus, Meier, Lennart
Let $A$ be an abelian compact Lie group. In this paper we compute the spectrum of invariant prime ideals of the $A$-equivariant Lazard ring, or equivalently the spectrum of points of the moduli stack of $A$-equivariant formal groups. We further show
Externí odkaz:
http://arxiv.org/abs/2309.00850
We prove that the Brauer group of TMF is isomorphic to the Brauer group of the derived moduli stack of elliptic curves. Then, we compute the local Brauer group, i.e., the subgroup of the Brauer group of elements trivialized by some \'etale cover of t
Externí odkaz:
http://arxiv.org/abs/2210.15743
Autor:
Meier, Lennart
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 3553-3586
The goal of this article is to construct and study connective versions of topological modular forms of higher level like $\mathrm{tmf}_1(n)$. In particular, we use them to realize Hirzebruch's level-$n$ genus as a map of ring spectra.
Comment: 2
Comment: 2
Externí odkaz:
http://arxiv.org/abs/2104.12649
In this paper, we introduce the localized slice spectral sequence, a variant of the equivariant slice spectral sequence that computes geometric fixed points equipped with residue group actions. We prove convergence and recovery theorems for the local
Externí odkaz:
http://arxiv.org/abs/2008.04963
Autor:
Gepner, David, Meier, Lennart
Following ideas of Lurie, we give in this article a general construction of equivariant elliptic cohomology without restriction to characteristic zero. Specializing to the universal elliptic curve we obtain in particular equivariant spectra of topolo
Externí odkaz:
http://arxiv.org/abs/2004.10254
Publikováno v:
J. Amer. Math. Soc. 37 (2024), 1011-1040
We prove a purity property in telescopically localized algebraic $K$-theory of ring spectra: For $n\geq 1$, the $T(n)$-localization of $K(R)$ only depends on the $T(0)\oplus \dots \oplus T(n)$-localization of $R$. This complements a classical result
Externí odkaz:
http://arxiv.org/abs/2001.10425
Publikováno v:
In Advances in Mathematics 1 January 2023 412
Autor:
Meier, Lennart, Ozornova, Viktoriya
Among topological modular forms with level structure, $TMF_0(7)$ at the prime $3$ is the first example that had not been understood yet. We provide a splitting of $TMF_0(7)$ at the prime 3 as $TMF$-module into two shifted copies of $TMF$ and two shif
Externí odkaz:
http://arxiv.org/abs/1812.04425