SPEAKER: Dennis Dreesen (University of Southampton, UK.)
TITLE: LOCALLY COMPACT HYPERBOLIC GROUPS
Abstract: The common convention when dealing with hyperbolic groups is that such groups are finitely generated and equipped with the word length metric relative to a finite symmetric generating subset. Gromov’s work already contained ideas which encompass locally compact hyperbolic groups. We study this class of groups and elaborate on the similarities and differences between the discrete and non-discrete setting.
The Department of Mathematics & Manoa Math Ohana Invite you to Luana in the Afternoon Refreshments provided. All students and faculty welcome.
luana. Hawaiian. v. To be at leisure, enjoy pleasant surroundings and associates, enjoy oneself, relax, be content.
SPEAKER: Erica Brown (U. Hawai`i, Mathematics)
TITLE:The Fast Fourier Transform for Nonequispaced Data.
Schedule available at http://math.hawaii.edu/~sarah/ImageAnalysis.html
Speaker: Bernhard Hanke (U. Augsburg)
Title: Positive scalar curvature: Existence and classification
Abstract: The volumes of balls in curved spaces are in general different from the volumes of
balls of the same radius in flat, Euclidean space. This deviation leads to the
notion of scalar curvature. If the scalar curvature is positive, the local geometry of the
underlying space is similar, in a very rough sense, to the spherical case.
We will give an overview of questions, techniques and results linked with the
investigation of manifolds of positive scalar curvature.
Speaker: Tamas Forgacs (Fresno State)
Title: Parallel approaches and some open problems in the theory of multiplier sequences
Abstract: In 1914, Polya and Schur introduced, and completely characterized multiplier sequences of the first and second kind. Following their work, there were numerous efforts to better understand these objects. Broadly speaking, these efforts fall into two categories: (i) those investigating intrinsic properties of such sequences, and (ii) those looking at these objects as linear operators on R[x]. In this talk we will outline some connections between these approaches, discuss some recent results, and state a few titillating conjectures.
The Department of Mathematics & Manoa Math Ohana Invite you to Luana in the Afternoon Refreshments provided. All students and faculty welcome.
luana. Hawaiian. v. To be at leisure, enjoy pleasant surroundings and associates, enjoy oneself, relax, be content.
Speaker: Yevhen Zelenyuk (Wits. University)
Title: Discontinuity of multiplication and left translations in $G^{LUC}$
Abstract: Every locally compact group $G$ has a largest semigroup
compactification, denoted $G^{LUC}$. For every $p\in G$ and $q\in G^{LUC}$,
the multiplication in $G^{LUC}$ is continuous at $(p,q)$ (Ellis 1957), and
for every $p\in G^*=G^{LUC}\setminus G$, the left translation by $p$ in
$G^*$ is discontinuous (Protasov and Pym 2001). We shall discuss the
question whether there are $p,q\in G^*$ such that the multiplication in
$G^{LUC}$ is continuous at $(p,q)$ or the left translation by $p$ in $G^*$
is continuous at $q$.