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Upcoming Seminars
MONDAY, October 8, 2007
APPLIED ANALYSIS AND PDE READING SEMINAR PSA 304 1:40 p.m.
Moderators: Slim Ibrahim, Svetlana Roudenko, Sergei Suslov,
Department of Mathematics and Statistics
"Local and Global Analysis of Nonlinear Dispersive Equations"
ABSTRACT: We study in details modern approaches in Analysis and
Nonlinear PDEs based on the book from CBMS series by Terence
Tao (Field's Medalist 2006). Graduate students and postdocs are
especially welcome.
BASIL NICHOLS-NICOLAENKO MEMORIAL
DISTINGUISHED LECTURES IN NONLINEAR STUDIES
Carson Ballroom in Old Main 3:00 p.m.
In honor and memory of Basil Nicolaenko, family, friends and
colleagues cordially invite you to attend the inaugural Basil
Nicolaenko Memorial Distinguished Lectures in Nonlinear Studies
and Reception.
The lectures are intended for students, postdocs, faculty -
the entire ASU community. Students interested in nonlinear
problems in science, engineering, social dynamics, economics,
and other fields are especially encouraged attend these
lectures.
3:00-3:10 pm Opening remarks
Quentin Wheeler, Vice President and Dean,
College of Liberal Arts and Sciences
3:10-3:40 pm James Mac Hyman, Los Alamos National Laboratory
3:40-4:10 pm Robert Ecke, Los Alamos National Laboratory
4:15-4:25 pm Elizabeth D. Capaldi, Executive Vice President
& University Provost
4:30-5:00 pm Joe Fernando, Department of Mechanical and
Aerospace Engineering
5:00-5:30 pm Alan Newell, University of Arizona
BASIL NICHOLS-NICOLAENKO MEMORIAL RECEPTION
University Club 5:30 p.m.
5:30-5:40 pm Paul Johnson, Executive Dean,
Ira A. Fulton School of Engineering
5:40-5:45 pm Quentin Wheeler, Vice President and Dean, CLAS
5:45-7:00 pm Colleagues, family, and friends
We welcome donations to the new Basil Nichols-Nicolaenko
Distinguished Nonlinear Studies Endowment, which creates a
legacy that will forever recognize the important and long
lasting contributions that he made to our community, to the
study of nonlinear studies at ASU, and to mathematics
worldwide. The fund shall support a distinguished lecture
series, scholarships, fellowships and other academic programs
in nonlinear studies. Checks may be made payable to the ASU
Foundation.
Gift and Pledge Form can be found on this web site
http://math.asu.edu/~byn/memorial. All funds will be deposited
with the ASU Foundation, a separate non-profit organization
that exists to benefit ASU.
WEDNESDAY, October 10, 2007
COMPRESSIVE SENSING SEMINAR ECA 225 4:00 p.m.
(In cooperation with Department of Electrical Engineering)
Video Lecture by Ronald DeVore, University of South Carolina
"Construction of Compressed Sensing Matrices with the Best
Restricted Isometry Properties"
ABSTRACT: The restricted isometry property (RIP) is closely
related to the uniform uncertainty principle (UUP) introduced
in the previous lectures by Professor Candes. It provides an
avenue to establish sufficient conditions for compressive
sensing of sparse signals. This lecture begins with a
discussion of the Johnson-Lindenstrauss lemma about the
existence functions from high-dimensional spaces to low-
dimensional spaces that approximately preserve distances for
finite point sets.
Introduction and summary will be provided by this week's
moderator, Dave Kaspar.
THURSDAY, October 11, 2007
COLLOQUIUM PSA 206 4:00 p.m.
Rekha Thomas, University of Washington
"The Integer Hull of a Rational Polyhedron"
ABSTRACT: The integer hull of a rational polyhedron is the
convex hull of all the integer points in it. This is again a
polyhedron and is the central geometric object in discrete
optimization. While the complexity of the outer polyhedron is
essentially combinatorial, the integer hull is controlled by
arithmetic and number theoretic information which makes it far
more complicated. In this talk I will survey the methods in
optimization that are used to understand integer hulls and
describe recent work in this area by Tristram Bogart and myself
where we introduce a new notion of complexity for integer hulls
called the small Chvatal rank of a polyhedron.
Refreshments will be served in PSA 206 at 3:30 p.m.
FRIDAY, October 12, 2007
C*-ALGEBRA SEMINAR PSA 307 9:40 a.m.
Kamran Reihani, Department of Mathematics and Statistics
"On C*-Algebras Generated by Irreducible Representations of
Discrete Heisenberg-Type Groups"
ABSTRACT: It is known that irrational rotation algebras can be
characterized as the infinite-dimensional C*-algebras generated
by irreducible representatios of the three-dimensional discrete
Heisenberg group. In this talk, we find analogues of these
C*-algebras by analyzing the irreducible representations of
some higher dimensional Heisenberg-type groups, and will
characterize them by invariants of K-theory.
INFORMAL MEETING WITH DR. REKHA THOMAS PSA 206 10:30 a.m.
Dr. Rekha Thomas,a combinatorist from University of
Washington, will meet with students and faculty to talk about
research career, mathematics outside ASU, etc...
MATH BIOLOGY SEMINAR PSA 102 3:40 p.m.
Andrea Pugliese, University of Trento
"Within-Host Immune Dynamics, Epidemic Models and
Evolutionary Dynamics of Virulence"
ABSTRACT: Several recent papers have introduced explicit
modelling of hosts' immune response to study epidemic dynamics
and the evolution of pathogens. Following this idea, I extend
the submodel for within-host dynamics by Gilchrist and Sasaki
(2002) in which functional response in pathogen-immune system
interaction, and decay of immune response are considered:
different qualitative behaviours (pathogen clearance, pathogen
uncontrolled growth, equilibrium or periodic coexistence of
pathogen and immune response) are possible, according to
parameter values and initial conditions. Passing to the
population level, one obtains an epidemic model in which the
infective class is structured through individual pathogen
level and immune response. If, as assumed by Gilchrist and
Sasaki (2002), the pathogen load at infection is fixed, the
model can reduce to an age-of-infection structure, and its
qualitative behaviour follows the usual properties of epidemic
models. If, on the other hand, initial infection load depends
on the pathogen load of the individual from whom the infection
is acquired, more complex behaviours appear to be possible.
Moving to evolutionary dynamics, these models indicate that an
intermediate level of pathogen replication is selected for.
However, for most parameter values, this `intermediate' level
of pathogen virulence corresponds to rather high lethality
rates compared to normal infections. If immune response rates
in the host population, instead of being a constant, follow
some probability distribution, computer simulations show that
a much smaller replication rate is selected among pathogen;
moreover, the overall lethality rate is smaller, and
concentrated in the 'weakest' individuals. This underlines the
relevant role of non-genetical variability in populations.
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