Semistable models for modular curves of arbitrary level

J Weinstein - Inventiones mathematicae, 2016 - Springer
We produce an integral model for the modular curve X (Np^ m) X (N pm) over the ring of
integers of a sufficiently ramified extension of Z _p Z p whose special fiber is a semistable …

Geometric construction of Heisenberg–Weil representations for finite unitary groups and Howe correspondences

N Imai, T Tsushima - European Journal of Mathematics, 2023 - Springer
We give a geometric construction of the Heisenberg–Weil representation of a finite unitary
group by the middle étale cohomology of an algebraic variety over a finite field, whose …

Local Galois representations of Swan conductor one

N Imai, T Tsushima - arXiv preprint arXiv:1509.02960, 2015 - arxiv.org
We construct the local Galois representations over the complex field whose Swan
conductors are one by using etale cohomology of Artin-Schreier sheaves on affine lines over …

Affinoids in the Lubin–Tate perfectoid space and simple supercuspidal representations II: wild case

N Imai, T Tsushima - Mathematische Annalen, 2021 - Springer
We construct a family of affinoids in the Lubin–Tate perfectoid space and their formal models
such that the middle cohomology of their reductions realizes the local Langlands …

Geometric realization of the local Langlands correspondence for representations of conductor three

N Imai, T Tsushima - arXiv preprint arXiv:1205.0734, 2012 - arxiv.org
arXiv:1205.0734v4 [math.NT] 19 Mar 2022 Geometric realization of the local Langlands
correspondence for representations of con Page 1 arXiv:1205.0734v4 [math.NT] 19 Mar 2022 …

Affinoids in the Lubin–Tate perfectoid space and simple supercuspidal representations I: tame case

N Imai, T Tsushima - International Mathematics Research …, 2020 - academic.oup.com
We construct a family of affinoids in the Lubin–Tate perfectoid space and their formal models
such that the middle cohomology of the reductions of the formal models realizes the local …

Geometric realization of the local Langlands correspondence for representations of conductor three

N Imai, T Tsushima - Publications of the Research Institute for …, 2022 - ems.press
Geometric Realization of the Local Langlands Correspondence for Representations of Conductor
Three Page 1 Publ. RIMS Kyoto Univ. 58 (2022), 49–77 DOI 10.4171/PRIMS/58-1-3 Geometric …

[HTML][HTML] Good reduction of affinoids in the Lubin–Tate curve in even equal characteristic, I

T Tsushima - Journal of Number Theory, 2020 - Elsevier
We define affinoids in the Lubin–Tate curve in even equal characteristic, and compute the
reductions of them. Each reduction is isomorphic to a smooth affine curve with Artin …

[PDF][PDF] Affinoids in Lubin-Tate surfaces with exponential full level two

N Imai, T Tsushima - Around Langlands correspondences, 2017 - ms.u-tokyo.ac.jp
Affinoids in Lubin-Tate surfaces with exponential full level two Page 1 Contemporary Mathematics
Affinoids in Lubin-Tate surfaces with exponential full level two Naoki Imai and Takahiro …

p-adic Integration on Hyperelliptic Curves of Bad Reduction: Algorithms and Applications

E Kaya - 2021 - research.rug.nl
For curves over the field of p-adic numbers, there are two notions of p-adic integration:
Berkovich-Coleman integrals which can be performed locally, and Vologodsky integrals with …