Zobrazeno 1 - 10
of 244
pro vyhledávání: '"HOWE, SEAN"'
Autor:
Howe, Sean
We introduce a theory of probability in $\lambda$-rings designed to efficiently describe random variables valued in multisets of complex numbers, varieties over a field, or other similar enriched settings. A key role is played by the $\sigma$-moment
Externí odkaz:
http://arxiv.org/abs/2412.19295
Autor:
Howe, Sean, Klevdal, Christian
For an algebraically closed non-archimedean extension $C/\mathbb{Q}_p$, we define a Tannakian category of $p$-adic Hodge structures over $C$ that is a local, $p$-adic analog of the global, archimedean category of $\mathbb{Q}$-Hodge structures in comp
Externí odkaz:
http://arxiv.org/abs/2308.11065
Autor:
Howe, Sean, Klevdal, Christian
We reinterpret and generalize the construction of local Shimura varieties and their non-minuscule analogs by viewing them as moduli spaces of admissible pairs. Our main application is a bi-analytic Ax-Lindemann theorem comparing, in the basic case, r
Externí odkaz:
http://arxiv.org/abs/2308.11064
We use the $p$-divisible group attached to a 1-motive to generalize the conjugate $p$-adic uniformization of Iovita--Morrow--Zaharescu to arbitrary $p$-adic formal semi-abelian schemes or $p$-divisible groups over the ring of integers in a $p$-adic f
Externí odkaz:
http://arxiv.org/abs/2208.10551
Autor:
Das, Ronno, Howe, Sean
We categorify the inclusion-exclusion principle for partially ordered topological spaces and schemes to a filtration on the derived category of sheaves. As a consequence, we obtain functorial spectral sequences that generalize the two spectral sequen
Externí odkaz:
http://arxiv.org/abs/2204.04165
Autor:
Howe, Sean
We give a new proof of the slope classicality theorem in classical and higher Coleman theory for modular curves at arbitrary level using the completed cohomology classes attached to overconvergent modular forms. The latter give an embedding of the qu
Externí odkaz:
http://arxiv.org/abs/2111.15576
We introduce the Hadamard topology on the Witt ring of rational functions, giving a simultaneous refinement of the weight and point-counting topologies. Zeta functions of algebraic varieties over finite fields are elements of the rational Witt ring,
Externí odkaz:
http://arxiv.org/abs/2012.14841
Autor:
Howe, Sean
We construct a $(\mathfrak{gl}_2, B(\mathbb{Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb{P}^1$, landing in the compactly supported completed $\mathbb{C}_
Externí odkaz:
http://arxiv.org/abs/2008.08029
Autor:
Howe, Sean
Following a suggestion of Peter Scholze, we construct an action of $\hat{\mathbb{G}}_m$ on the Katz moduli problem, a profinite-\'{e}tale cover of the ordinary locus of the $p$-adic modular curve whose ring of functions is Serre's space of $p$-adic m
Externí odkaz:
http://arxiv.org/abs/2003.11129