20 citations · 51 across the 15 of their papers we have counts for
15 papers
Local newforms for generic representations of unramified odd unitary groups and Fundamental Lemma
Hiraku Atobe, Masao Oi, Seidai Yasuda
In this paper, we establish the theory of local newforms for irreducible tempered generic representations of unramified odd unitary groups over a non-archimedean local field. For t…
Local newforms for the general linear groups over a non-archimedean local field
Hiraku Atobe, Satoshi Kondo, Seidai Yasuda
In [12], Jacquet--Piatetskii-Shapiro--Shalika defined a family of compact open subgroups of -adic general linear groups indexed by non-negative integers, and established the the…
Semi-stable representations as limits of crystalline representations
Anand Chitrao, Eknath Ghate, Seidai Yasuda
We construct an explicit sequence of crystalline representations of exceptional weights converging to a given irreducible two-dimensional semi-stable representation $…
Arithmetic quotients of the Bruhat-Tits building for projective general linear group in positive characteristic
Satoshi Kondo, Seidai Yasuda
Let . We study a subspace of the space of automorphic forms of over a global field of positive characteristic (or, a function field of a curve over a finit…
Distributions and Euler systems for the general linear group
Satoshi Kondo, Seidai Yasuda
The main aim is to give a rigorous statement and proof of the slogan "the d-fold tensor product of distributions is an Euler system for GL_d". Of the few known examples of Euler sy…
First and second -groups of an elliptic curve over a global field of positive characteristic
Satoshi Kondo, Seidai Yasuda
In this paper, we show that the maximal divisible subgroup of groups and of an elliptic curve over a function field is uniquely divisible. Further those -groups…
Regularity of quotients of Drinfeld modular schemes
Satoshi Kondo, Seidai Yasuda
Let be the coordinate ring of a projective smooth curve over a finite field minus a closed point. For a nontrivial ideal , Drinfeld defined the notion of structure…
Belyi's theoerm in characteristic two
Yusuke Sugiyama, Seidai Yasuda
We prove an analogue of Belyi's theorem in characteristic two. Our proof consists of the following three steps. We first introduce a new notion called "pseudo-tame" for morphisms b…
Category of mixed plectic Hodge structures
Kenichi Bannai, Kei Hagihara, Shinichi Kobayashi +3
The purpose of this article is to investigate the properties of the category of mixed plectic Hodge structures defined by Nekovář and Scholl. We give an equivalent description of m…
Sites whose topoi are the smooth representations of locally profinite groups
Satoshi Kondo, Seidai Yasuda
We define a class of sites such that the associated topos is equivalent to the category of smooth sets (representations) of some locally prodiscrete monoids (to be defined). Exampl…
The Borel-Moore homology of an arithmetic quotient of the Bruhat-Tits building of PGL of a non-archimedean local field in positive characteristic and modular symbols
Satoshi Kondo, Seidai Yasuda
We study the homology and the Borel-Moore homology with coefficients in of a quotient (called arithmetic quotient) of the Bruhat-Tits building of of a n…
Finite real multiple zeta values generate the whole space
Seidai Yasuda
We prove that the -vector space generated by the multiple zeta values is generated by the finite real multiple zeta values introduced by Kaneko and Zagier.
On two higher Chow groups of schemes over a finite field
Satoshi Kondo, Seidai Yasuda
Given a separated scheme of finite type over a finite field, its higher Chow groups and are computed explicitly.
What makes a multi-complex exact?
Satoshi Mochizuki, Seidai Yasuda
In this paper, we give a sufficient condition which makes the total complex of a cube exact. This can be regarded as a variant of the Buchsbaum-Eisenbud theorem which gives a chara…
On Haagerup's list of potential principal graphs of subfactors
Marta Asaeda, Seidai Yasuda
We show that any graph, in the sequence given by Haagerup in 1991 as that of candidates of principal graphs of subfactors, is not realized as a principal graph except for the small…