Now showing items 1-4 of 83

• #### Level raising for automorphic representations of GL(2n) ﻿

(2019-05-18)
To each regular algebraic, conjugate self-dual, cuspidal automorphic representation $\Pi$ of $\mathrm{GL}(N)$ over a CM number field $E$ (or, more generally, to a regular algebraic isobaric sum of conjugate self-dual, ...
• #### Ricci-flat deformations of orbifolds and asymptotically locally Euclidean manifolds ﻿

(2019-07-19)
In this thesis we study Ricci-flat deformations of Ricci-flat Kähler metrics on compact orbifolds and asymptotically locally Euclidean(ALE) manifolds. In both cases we also study the moduli space of Ricci-flat structures. ...
• #### Rigid Analytic Quantum Groups ﻿

(2019-04-27)
Following constructions in rigid analytic geometry, we introduce a theory of $p$-adic analytic quantum groups. We first define Fréchet completions $\wideparen{U_q(\mathfrak{g})}$ and $\wideparen{\mathcal{O}_q(G)}$ of the ...
• #### Tropical Intersection Theory on Moduli Stack of Curve Coverings ﻿

(2019-06-01)
We construct the moduli cone stack $\mathfrac{M}_\eta^\text{trop}$ of tropical \'{e}tale covers (i.e., coverings of twisted tropical curves). We define the tropical intersection theory on $\mathfrac{M}_\eta^\text{trop}$ ...