dissertationSuppose G is an arithmetic group defined over a global field K, that the K-type of G is An with n at least 2, and that the ambient semisimple group that contains G as a lattice has at least two noncocompact factors. We use results from Bestvina-Eskin-Wortman and Cornulier-Tessera to show that G has a polynomially bounded Dehn function
In this dissertation we obtain upper bounds of second order Dehn functions of lattices of the 3-dime...
This thesis consists of four research articles that treat different aspects of Kummer theory for com...
To any almost faithful representation of a complex, connected, reductive algebraic group Gof highest...
Dr. Shuichiro Takeda, Dissertation Supervisor.Includes vita.Field of Study: Mathematics."May 2018."I...
The question of what is a possible range for the Dehn functions (a.k.a. isoperimetric spectrum) for ...
Let $k$ be any field. Let $G$ be a connected reductive algebraic $k$-group. Associated to $G$ is an ...
Greenberg asked whether arithmetically equivalent number fields share the same Iwasawa invariants. I...
dissertationLet Fp be the nite eld with p elements, let S be a nite nonempty set of inequivalent ...
The objective of this paper is to combine the results of two papers to get a new result. The first ...
To any almost faithful representation of a complex, connected, reductive algebraic group $G$ of high...
The objective of this paper is to combine the results of two papers to get a new result. The first ...
dissertationThe associated variety is a geometric invariant attached to each Harish-Chandra module o...
Let G be a complex algebraic group and let P be a parabolic subgroup of G. Let T(G/P) denote the cot...
Let G be a complex algebraic group and let P be a parabolic subgroup of G. Let T(G/P) denote the cot...
Let G be a complex algebraic group and let P be a parabolic subgroup of G. Let T(G/P) denote the cot...
In this dissertation we obtain upper bounds of second order Dehn functions of lattices of the 3-dime...
This thesis consists of four research articles that treat different aspects of Kummer theory for com...
To any almost faithful representation of a complex, connected, reductive algebraic group Gof highest...
Dr. Shuichiro Takeda, Dissertation Supervisor.Includes vita.Field of Study: Mathematics."May 2018."I...
The question of what is a possible range for the Dehn functions (a.k.a. isoperimetric spectrum) for ...
Let $k$ be any field. Let $G$ be a connected reductive algebraic $k$-group. Associated to $G$ is an ...
Greenberg asked whether arithmetically equivalent number fields share the same Iwasawa invariants. I...
dissertationLet Fp be the nite eld with p elements, let S be a nite nonempty set of inequivalent ...
The objective of this paper is to combine the results of two papers to get a new result. The first ...
To any almost faithful representation of a complex, connected, reductive algebraic group $G$ of high...
The objective of this paper is to combine the results of two papers to get a new result. The first ...
dissertationThe associated variety is a geometric invariant attached to each Harish-Chandra module o...
Let G be a complex algebraic group and let P be a parabolic subgroup of G. Let T(G/P) denote the cot...
Let G be a complex algebraic group and let P be a parabolic subgroup of G. Let T(G/P) denote the cot...
Let G be a complex algebraic group and let P be a parabolic subgroup of G. Let T(G/P) denote the cot...
In this dissertation we obtain upper bounds of second order Dehn functions of lattices of the 3-dime...
This thesis consists of four research articles that treat different aspects of Kummer theory for com...
To any almost faithful representation of a complex, connected, reductive algebraic group Gof highest...