Colloquiums & Seminars 2005
back to Seminars and Colloquiums 2007-2008
DATE: Friday, November 4, 2005
Speaker: Dr. Liang Peng
Affiliation: School of Mathematics, Georgia Institute of Technology
Title: Variance reduction in nonparametric regression models
Time and Place: 1:00-2:00pm, Room 796-COE
Analysis Seminar : Ning Zhang, Syracuse University
DATE: Friday, November 4, 2005
TIME: 3:30-4:30pm
PLACE: Room 796, College of Education Building
TITLE: Dolbeault cohomology on the loop space of the Riemann sphere.
Please see the Abstract for more information.
Friday, November 4, 2-3pm, ALC 206
Undergraduate Colloquium: " Evolution of decorating behavior in invertebrates--a delicate balance"
Professor Matthew Miller, University of South Carolina. He is the Associate Secretary, South-Eastern Section of the American Mathematical Society
Please see the Abstract for more information.
Analysis Seminar :
Scott Simon, Purdue University
DATE: Friday, October 14, 2005
TIME: 2- 3pm
PLACE: Room 796, College of Education Building
TITLE:
A Real Analytic Cousin Problem in Infinite Dimensions
Please see the Abstract for more information.
Mathematics Lecture Series: Mihnea Popa
DATE: Friday, Sept 9, 2005
TIME: 1:30- 2:30pm (NEW TIME)
PLACE: Room 140, College of Education Building
Dr. Popa, of the University of Chicago, will present the lecture "Classical Problems and New Developments in Algebra and Geometry." A Centennial Fellow of the American Mathematical Society, his mathematical interests are in algebraic geometry. The talk is aimed at a general audience and Dr. Popa will discuss the deep interplay between algebra and geometry in connection to classical as well as modern questions in algebraic geometry. Please see the Abstract for more information.
Tuesday, July 19. Thesis Defense for Eunkyung Cha. 796 COE 10am-11am. Click here for flyer.
Title: The Volume under the ROC surface for the Multi-Ordered Classes Problems.
May 28, 2005 Matrix Theory Symposium In Honor of Jean H. Bevis, Ph.D. (registration at 8:30am)
Please click the program for more details.
May 19, 2005, 3 pm, COE Room 796
Dr. Igor Belykh, Swiss Federal Institute of Technology, Lausanne, Switzerland
"The hyperbolic Plykin attractor can exist in neuron models"
Abstract: Strange hyperbolic attractors are hard to find in real physical
systems. This talk provides the first example of a realistic system, a
canonical three-dimensional (3D) model of bursting neurons, that is
likely to have a strange hyperbolic attractor.
Using a geometrical approach to the study of the neuron model, we
derive a flow-defined Poincar\'{e} map giving an accurate account of
the system's dynamics. In a parameter region where the neuron system
undergoes bifurcations causing transitions between tonic spiking and
bursting, this two-dimensional map becomes a map of a disk with several
periodic holes. A particular case is the map of a disk with three
holes, matching the Plykin example of a planar hyperbolic attractor.
The corresponding attractor of the 3D neuron model appears to be
hyperbolic and arises as a result of a two-loop
(secondary) homoclinic bifurcation of a saddle.
May 10, 2005, 3 pm,
COE Room 796
Dr. Igor Belykh, Swiss Federal Institute of Technology, Lausanne, Switzerland
"Synchronization of complex networks"
Abstract: A particularly interesting form of dynamical behavior occurs in
networks of coupled oscillators when all of the subsystems behave
in the same fashion; that is, they all do the same thing at the
same time. Such behavior of a network models neurons that
synchronize, coupled synchronized lasers and networks of computer
clocks, as well as many other self-organizing systems. A central
dynamical question is: When is such synchronous behavior stable,
especially with respect to coupling strengths and coupling
configurations of the network? The purpose of this talk is to elucidate the relation between
synchronization and connection graph topology. First, I will
present a new general method to prove global stability of
synchronization in networks of linearly coupled oscillators. This
rigorous method combines the Lyapunov function approach with graph
theoretical reasoning. Then, I will show how the method can be
applied to the study of synchronization in regular and small-world
networks. In particular, I will give a rigorous bound for the
minimum coupling strength sufficient for global synchronization of
all oscillators in such networks, and explicitly link this bound
with the average path length for a wide class of coupling graphs.
Finally, I will present surprising results from the study of
synchronization in pulse-coupled networks of bursting neurons.
April 14, 2005 10:00am
Natural Science Center, Room 441
Title "OUTLINE OF GENETIC EPIDEMIOLOGY OF SKELETAL SYSTEM AGING IN APPARENTLY HEALTHY HUMAN POPULATION"
Gregory Livshits, Department of Anatomy and Anthropology, Sackler Faculty of Medicine Tel Aviv University, Israel.
Abstract. For the first time in the history of humanity, large numbers of persons are surviving to older ages, 70 and even more in all developed countries. This process brings with it age dependent chronic degenerative diseases with an unprecedented rate and with severe health, well being, social and economic consequences. A multitude of conditions may fall into the category chronic degenerative diseases and may be defined as those conditions that lead to progressive deterioration in one or more clinical, metabolic, or physiological traits that can be measured on a continuous scale.
The present study was driven by a clinical problem of age dependent chronic degenerative disease of skeleton that includes osteoporosis (OP) and osteoarthritis (OA) related phenotypes. The major aims of the study included evaluation of the putative genetic factors determining the rate and pattern of the bone and cartilage loss and identification of the specific genes involved in this process. In addition, we were trying to identify genetic effects on circulating biochemical factors involved in bone and cartilage metabolism. The skeletal phenotypes were assessed from hand radiographs. Our research was carried out in total on about 1200inds. belonging to ethnically homogeneous nuclear and complex three-generational pedigrees. Extensive statistical analysis that included variance component pedigree-based methods, complex segregation analysis and transmission disequilibrium tests, was implemented to answer the main research questions. Prior to analysis, statistical power of the used tests was carefully examined on the study sample, using the simulation technique. The results obtained until now can be divided into 3 sections: 1.Genetic analysis of bone mass/size/geometry characteristics (OP) and traits related to hand OA. 2.Pedigree based investigation of circulating levels of calciotropic hormones, growth factors, cytokines, and biochemical indices of bone and cartilage remodeling. 3.Linkage and linkage disequilibrium study of several candidate genes and OP/OA, including biochemical variables. Of special interest were the results obtained with ANKH and ENPP-1 genes, involved in pyrophosphate transport channel. Implementing of various pedigree-based linkage disequilibrium tests showed that each of these genes was significantly associated with hand bone size and proportions as well as OA intergenerational transmission. Further extensive research is needed in this field to clarify the situation.
April 1, 3pm, 796 COE
Sandra Spiroff, University of Utah
Title: "Growth of ideals:
Abstract: We consider a pair of ideals such that some power, say p, of the first ideal is contained in a power, say q, of the second. The question that has been historically considered by P. Samuel & D. Rees, and more recently by R. Lazarsfeld, is the following: What can be said about the limit of q/p, as p goes to infinity? P. Samuel, in the 1950's, noted that in every example he constructed, this limit was rational. We discuss the background and history of this problem, as well as present our perspective on extending the question to a more general point of view.