13 citations · 77 across the 18 of their papers we have counts for
18 papers
Local Galois representations associated to additive polynomials
Takahiro Tsushima
For an additive polynomial and a positive integer, we define an irreducible smooth representation of a Weil group of a non-archimedean local field. We study several invariants of t…
Mod Weil representations and Deligne--Lusztig inductions for unitary groups
Naoki Imai, Takahiro Tsushima
We study the mod Weil representation of a finite unitary group and related Deligne--Lusztig inductions. In particular, we study their decomposition as representations of a s…
Shintani lifts for Weil representations of unitary groups over finite fields
Naoki Imai, Takahiro Tsushima
We construct extended Weil representations of unitary groups over finite fields geometrically, and show that they are Shintani lifts for Weil representations.
Geometric construction of Heisenberg-Weil representations for finite unitary groups and Howe correspondences
Naoki Imai, Takahiro Tsushima
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 r…
On non-abelian Lubin-Tate theory for GL(2) in the odd equal characteristic case
Takahiro Tsushima
In this paper, we define a family of affinoids in the tubular neighborhoods of CM points in the Lubin-Tate curve with suitable level structures, and compute the reductions of them…
Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations II: wild case
Naoki Imai, Takahiro Tsushima
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 corre…
Local Galois representations of Swan conductor one
Naoki Imai, Takahiro Tsushima
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 finite f…
Local Jacquet-Langlands correspondences for simple supercuspidal representations
Naoki Imai, Takahiro Tsushima
We give a description of the local Jacquet-Langlands correspondence for simple supercuspidal representations via type theory. As a consequence, we show that the endo-classes for su…
Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations I: tame case
Naoki Imai, Takahiro Tsushima
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 lo…
Geometric realization of the local Langlands correspondence for representations of conductor three
Naoki Imai, Takahiro Tsushima
We prove a realization of the local Langlands correspondence for two-dimensional representations of a Weil group of conductor three in the cohomology of Lubin-Tate curves by a pure…
Stable models of Lubin-Tate curves with level three
Naoki Imai, Takahiro Tsushima
We construct a stable formal model of a Lubin-Tate curve with level three, and study the action of a Weil group and a division algebra on its stable reduction. Further, we study a…
On the cuspidal representations of of level 1 or 1/2 in the cohomology of the Lubin-Tate space
Tetsushi Ito, Yoichi Mieda, Takahiro Tsushima
In this paper, we compute irreducible components which appear in the stable reduction of the Lubin-Tate curve of level two, in the mixed characteristic case. We also compute the ac…
On the cohomology of the Lubin-Tate curve of level 2 and the Lusztig theory over finite rings
Tetsushi Ito, Yoichi Mieda, Takahiro Tsushima
An etale cohomology group of some irreducible components, which is the smooth compactification of an affine curve in the stable…
Elementary computation of the stable reduction of the Drinfeld modular curve
Takahiro Tsushima
We compute the stable reduction of the Lubin-Tate space in the equal characteristic case, on the basis of Coleman-McMurdy's ideas. Namely, in this paper, we actually const…
Stable reduction of
Takahiro Tsushima
R. Coleman and K. McMurdy compute the stable reduction of On the basis of their ideas, we compute the stable reduction of As a result, in the stable reducti…
Cohomology of rigid curves with semi-stable coverings
Naoki Imai, Takahiro Tsushima
We construct a semi-stable formal model of a wide open rigid curve with a semi-stable covering, and study the l-adic cohomology of the rigid curve. We describe the l-adic cohomolog…
On localizations of characteristic classes of l-adic sheaves of rank 1
Takahiro Tsushima
The Grothendieck-Ogg-Shafarevich formula is generalized to any dimensional scheme by Abbes-Kato-Saito. In this paper, we introduce two methods of localization of the characteristic…
On localizations of the characteristic classes of l-adic sheaves and conductor formula in characteristic p>0
Takahiro Tsushima
The Grothendieck-Ogg-Shafarevich formula calculates the l-adic Euler-Poincare number of an l-adic sheaf on a curve by an invariant produced by the wild ramification of the l-adic s…