Browsing Fakultät für Mathematik und Informatik (inkl. GAUSS) by Referee "Stuhler, Ulrich Prof. Dr."
Now showing items 1-11 of 11
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Über J. Bernsteins zweite Adjungiertheit für reduktive p-adische Gruppen
(2022-10-25)We give a new and essentially elementary proof of an important result due to Joseph Bernstein in the theory of smooth representations of a reductive p-adic group G. Main tools for studying these representations are parabolic ... -
Azumaya-Algebren und Oktavenalgebren auf algebraischen Varietäten
(2013-11-21)We study noncommutative algebras over rings and on algebraic varieties. In the first part we give a criterion for whether or how far a central simple algebra over the function field of a projective variety could be extended ... -
Moduli spaces of bundles over two-dimensional orders
(2013-05-15)We study modules over maximal orders on smooth projective surfaces and their moduli spaces. We investigate zero- and two-dimensional moduli spaces on K3 and abelian surfaces for unramified orders, so called Azumaya algebras. ... -
Oktaven und Reduktionstheorie
(2012-02-02)The thesis studies the split octonion algebra and its automorphism group. This group is a Lie group of Type G2. One object of the thesis is to look at methods introduced by Behrend, Harder ... -
Twisted K-theory with coefficients in a C*-algebra and obstructions against positive scalar curvature metrics
(2010-03-17)We introduce the notion of twisted Hilbert A-module bundles to construct a geometric realization of twisted K-theory with coefficients in a C*-algebra A. Like ordinary bundles of Hilbert ... -
Thetafunktionen und konjugationsinvariante Funktionen auf Paaren von Matrizen
(2009-01-16)We express conjugation-invariant functions on the space of equivalence classes of pairs of kxk matrices via theta functions. Our approach is based on the well-known interplay between algebraic ... -
The Minkowski-Siegel Formula for quadratic bundles on curves
(2007-09-26)The subject of this thesis is the arithmetic theory of quadratic forms in the language of algebraic geometry. The main goal is to formulate and prove the Minkowski-Siegel formula for definite ... -
l<sup>p</sup>-Kohomologie, insbesondere Verschwindungssätze für l<sup>p</sup>-Kohomologie
(2007-08-14)In this dissertation we study the lp-cohomology of discrete groups of type FPn. We give a duality statement and prove some vanishing results, in particular for groups with an ... -
Untersuchungen zu kubischen metaplektischen Formen
(2004-11-30)The bijective correspondence between certain automorphic forms of a Bianchigroup on the threedimensional upper half space with trivial character and such of a metaplectic subgroup with a ... -
The Quintic Gauss Sums
(2004-09-14)We investigate the possibility of generalization of the Cassel-McGettrick formula for the quintic Gauss sums. We construct a fundamental region for the fifth cyclotomic field. we describe ... -
Ramanujan Regular Hypergraphs based on special Affine Bruhat-Tits Buildings
(2004-02-11)This dissertation is mainely about Ramanujan graphs and Hypergraphs, which are constracted with arithmetical tools. The unitgroups of Quaternions and division algebras play an important ...