18 citations · 22 across the 12 of their papers we have counts for
15 papers
Theta correspondence as a C*-correspondence
Mehmet Haluk Sengun
This is a survey of the recent works that describe theta correspondence as a C*-correspondence. The main mechanism is elucidated in the special case when one of the groups involved…
Theta correspondence via group C*-algebras
Magnus Goffeng, Bram Mesland, Mehmet Haluk Sengun
We prove that the well-known explicit construction of the local theta correspondence by Li has a simple interpretation in terms of group C*-algebras. In particular, we deduce that…
Adelic C*-correspondences and parabolic induction
Magnus Goffeng, Bram Mesland, Mehmet Haluk Sengun
In analogy with the construction of representations of adelic groups as restricted products of representations of local groups, we study restricted tensor products of Hilbert C*-mo…
Mod p Base Change transfer for GL(2)
Andrew Jones, Mehmet Haluk Sengun
We discuss Base Change functoriality for mod p eigenforms for GL(2) over number fields. We carry out systematic computer experiments and collect data supporting its existence in ca…
Hecke operators in KK-theory and the K-homology of Bianchi groups
Bram Mesland, Mehmet Haluk Sengun
Let be a torsion-free arithmetic group acting on its associated global symmetric space . Assume that is of non-compact type and let act on the geodesic boundary $\pa…
An Introduction to A-polynomials and their Mahler Measures
Mehmet Haluk Sengun
These are the notes of the three lectures I delivered at the mini-workshop "Knot Theory and Number Theory around the A-Polynomial" at the Instituto Superior Tecnico (IST) in Lisbon…
Torsion homology growth and cycle complexity of arithmetic manifolds
Nicolas Bergeron, Mehmet Haluk Sengun, Akshay Venkatesh
Let M be an arithmetic hyperbolic 3-manifold, such as a Bianchi manifold. We conjecture that there is a basis for the second homology of M, where each basis element is represented…
Dimension Formulae for Spaces of Lifted Bianchi Modular Forms
Mehmet Haluk Sengun, Panagiotis Tsaknias
In this note, we work out the dimension of the subspace of base-change forms and their twists inside the space of Bianchi modular forms with fixed (Galois stable) level and weight.
The Nonexistence of Certain Representations of the Absolute Galois Group of Quadratic Fields
Mehmet Haluk Sengun
For a quadratic field K, we investigate continuous mod p representations of the absolute Galois groups of K that are unramified away from p and infinity. We prove that for certain…
Arithmetic Aspects of Bianchi Groups
Mehmet Haluk Sengun
We discuss several arithmetic aspects of Bianchi groups, especially from a computational point of view. In particular, we consider computing the homology of Bianchi groups together…
On the Dimension of Cohomology of Bianchi Groups
Mehmet Haluk Sengun, Seyfi Turkelli
Using Lefschetz numbers of certain involutions, we provide lower bounds for the cuspidal cohomology of principal congruence subgroups of Bianchi groups. The asymptotic lower bounds…
Some Applications of Number Theory to 3-Manifold Theory
Mehmet Haluk Sengun
These are the extended notes of a talk I gave at the Geometric Topology Seminar of the Max Planck Institute for Mathematics in Bonn on January 30th, 2012. My goal was to familiariz…
On The Torsion Homology of Non-Arithmetic Hyperbolic Tetrahedral Groups
Mehmet Haluk Sengun
Numerical data concerning the growth of torsion in the first homology of non-arithmetic hyperbolic tetrahedral groups are collected. The data provide support the speculations of Be…
On the Integral Cohomology of Bianchi groups
Mehmet Haluk Sengun
Extensive and systematic machine computations are carried out to investigate the integral cohomology of the Euclidean Bianchi groups and their congruence subgroups. The collected d…
Weight Reduction for Mod l Bianchi Modular Forms
Mehmet Haluk Sengun, Seyfi Turkelli
Let K be an imaginary quadratic field with class number one and ring of integers O. We prove that mod l, a system of Hecke eigenvalues occurring in the first cohomology group of so…