Events
| << Prev | February 08, 2010 - February 15, 2010 | Next >> |
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Mon 02/8
Colloquium: Biomechanical Imaging: Viscoelastic Models, Algorithms, Reconstructions; Application to Breast, Prostate and Brain (MBI Seminar)
Joyce McLaughlin (Rensselaer Polytechnic Institute)
Start: 2:30 pm
End: 3:30 pm
Location: Jennings Hall, Room 355
Jennings Hall, Room 355
Biomechanical imaging is a promising new technology that enables monitoring of and predicting disease progression and the identification of cancerous and fibrotic tissue. The dynamic data that is input for our work is movies of propagating or harmonic waves; the movies are created from sets of MR or sets of ultrasound data that is acquired while the tissue is moving in response to a pulse or an oscillating force. The main characteristics of the movies are: either (1) there is a wave propagating with a front; or (2) there is a traveling wave created by two sources oscillating at different but nearly the same frequencies; or (3) there is multifrequency harmonic oscillation. Cluster sets for Sobolev functions and boundary regularity for quasiminimizers (Real and Complex Analysis Seminar)
Anders Bjorn (University of Cincinnati and Linkoping University )
Start: 3:30 pm
End: 4:18 pm
Location: MW154
MW154
Cluster sets have been used in many situations to describe
boundary behavior when a function does not have a limit (it is by
definition the set of all limit values the function takes along
different sequences towards the boundary point). In this talk I will
discuss (essential) cluster sets for Sobolev functions with
prescribed boundary values. As far as I know there are no similar
results in the literature.
I will also discuss boundary regularity for quasiminimizers, and show how the cluster set results apply to quasiminimizers. Quasiminimizers are generalizations of p-harmonic functions, which in turn are nonlinear generalizations of harmonic functions. Nathan Broaddus (OSU)
Start: 4:30 pm
End: 5:30 pm
Location: CH 240
CH 240
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Tue 02/9
Networks, nullclines, and narcolepsy: a mathematical investigation of orexin neurons (Recruitment Talk)
Cecilia Diniz Behn (University of Michigan)
Start: 11:30 am
End: 12:30 pm
Location: JE 355
JE 355
The neuropeptide orexin/hypocretin is essential for normal consolidation of sleep/wake behavior, and disruption of the orexin system is associated with the sleep disorder narcolepsy. Recent experimental work has characterized elements of orexin neuron electrophysiology and state-dependent behavior, however, many questions, particularly questions of dynamics, can be difficult to address in an experimental setting. I will discuss several modeling approaches, spanning multiple scales, which we have undertaken to investigate the intrinsic dynamics of these neurons and their role in sleep/wake regulation.
On the bounded cohomology of Lie Groups (Topology Seminar)
Christophe Pittet (CMI University of Aix-Marseille I)
Start: 3:30 pm
Location: CH240
CH240
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Wed 02/10
Boundary Value Problems for Higher Order Elliptic Operators (Partial Differential Equations Seminar)
Irina Mitrea (WPI)
Start: 4:30 am
End: 5:30 am
Location: EA265
EA265
As is well known, many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator L in a domain D. When L is a differential operator of second order a variety of tools are available for dealing with such problems including boundary integral methods, variational methods, harmonic measure techniques, and methods based on classical harmonic analysis. The situation when the differential operator has higher order (as is the case for instance with anisotropic plate bending when one deals with fourth order) stands in sharp contrast with this as only fewer options could be successfully implemented. Alberto Calder\'on, one of the founders of the modern theory of Singular Integral Operators, has advocated in the seventies the use of layer potentials for the treatment of higher order elliptic boundary value problems. While the layer potential method has proved to be tremendously successful in the treatment of second order problems, this approach is insufficiently developed to deal with the intricacies of the theory of higher order operators. In fact, it is largely absent from the literature dealing with such problems. Topological Entropy: Definition and Examples (Symbolic Dynamics Workgroup)
Kostyantyn Medynets
Start: 12:30 pm
Location: MW 154
MW 154
We will give the definition of an entropy for a topological dynamical system. We will find exact value of the entropy for some symbolic dynamical systems such as Markov chains, shifts of finite type, etc.
Bahram Rangipour (University of New Brunswick)
Start: 3:30 pm
End: 5:00 pm
Location: MA 240
MA 240
These lectures do not assume previous knowledge of the subject, and
will be accessible to a diverse audience of graduate students. The
specific topics to be addressed are as follows:
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Thu 02/11
Postdoc Seminar: Modeling Ischemic Cutaneous Wounds (MBI Seminar)
Chuan Xue (MBI, Ohio State University)
Start: 10:30 am
End: 11:18 am
Location: Jennings Hall, Room 355
Jennings Hall, Room 355
Chronic wounds represent a major public health problem
affecting 6.5 million people in the United States. Ischemia, primarily
caused by peripheral artery diseases, represents a major complicating
factor in cutaneous wound healing. In this talk, we present a
mathematical model of ischemic dermal wounds. The model consists of a
coupled system of partial differential equations in the partially
healed region, with the wound boundary as a free boundary. The
extracellular matrix (ECM) is assumed to be viscoelastic, and the free
boundary moves with the velocity of the ECM at the boundary. The model
Maintenance of protein asymmetry in the early embryo of the nematode worm C. elegans (Recruitment Talk)
Adriana Dawes (University of Alberta)
Start: 11:30 am
End: 12:30 pm
Location: JE 355
JE 355
My work centres on understanding how small scale interactions within a cell
can lead to large scale organization. In this talk, I will discuss recent work
concerning stable segregation of Par proteins at the one cell stage of the C.
elegans embryo. Experimental work has determined that Par proteins interact by
mutual phosphorylation, which was thought to be sufficient for stable
segregation. However, mathematical modelling suggests that higher order
complex formation, such as dimerization, is required. Experimental tests of
the mathematical model are consistent with model predictions and the model is
Hodge decomposition and laplacians for polyhedral surfaces and 3 dimensional manifolds (Geometry Topology and Data Analysis)
Dan Burghelea (OSU (mathematics))
Start: 2:30 pm
End: 3:30 pm
Location: MW154
MW154
This lecture is an appendix to the previous presentations about Hodge decomposition.
1. I will review the Helmholtz -Hodge decomposition and Laplacians for 2D polyhedral surfaces after Max Wardetzky and discuss the case of 3D polyhedral manifolds .
2. I will discuss how to use the linear algebra of Hodge decomposition to provide optimal size cycle realization of homology classes for a simplicial complexes with positive weights on simplexes.
3.I intend to formulate a number of simple but in my view interesting computational problems of interest in data analysis.
A metric Kan-Thurston theorem (Geometric Group Theory Seminar)
Ian Leary (The Ohio State University)
Start: 2:30 pm
End: 3:30 pm
Location: CH240
CH240
I'll state the Kan-Thurston theorem and various strengthenings/variations of it, and then I'll describe how to use CAT(0) cubical complexes to prove a version of it. I gave a similar talk some years ago at OSU, but the result has improved slightly since then.
Definable groups of automorphisms (Logic Seminar)
Moshe Kamensky (Notre Dame)
Start: 3:30 pm
End: 4:30 pm
Location: CC218
CC218
The Galois theory of linear differential equations is parallel to the Galois theory of polynomial equations, where the finite Galois groups are replaced by linear algebraic groups. This theory may be used to show that certain differential equations do not have "elementary" solutions.
Model theoretically, the construction of the Galois group of a differential equation can be viewed as an instance of the general formalism of internality. In the attempt to apply this formalism to difference equations, one runs into difficulties, arising mainly from the fact that the corresponding theory (ACFA) does not eliminate quantifiers. I will explain how a more elementary approach to internality allows one to overcome these difficulties, and define a Galois group for linear difference equations over arbitrary difference fields. | ||
Fri 02/12
Bahram Rangipour (University of New Brunswick)
Start: 3:30 pm
End: 5:00 pm
Location: MA 240
MA 240
These lectures do not assume previous knowledge of the subject, and
will be accessible to a diverse audience of graduate students. The
specific topics to be addressed are as follows:
Adjoint category of bilinear maps (The OSU-OU Ring Theory Seminar)
James B. Wilson (The Ohio State University)
Start: 4:45 pm
End: 5:45 pm
Location: MW 154
MW 154
There is no agreement on a category for bilinear maps. The
algebraic approach generalizes homomorphisms of rings, while the
geometric approach generalizes isometries of forms. Despite interesting
structures within each, neither of those categories is even additive.
In this talk we will define a third category of ``Adjoints'' on bilinear
maps. This category relates the disparate algebraic and geometric
properties of bilinear maps. We prove it is an abelian Grothendieck
category, but not always a module category. Indeed, there need not be
any projectives, unless defined over a field. We characterize the
simple and nondegenerate-simple objects in the category showing the
later are essentially division rings, possibly nonassociative..
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Sat 02/13
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Sun 02/14
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Mon 02/15
Zena Werb (University of California, San Francisco)
Start: 2:30 pm
End: 3:30 pm
Location: Jennings Hall, Room 355
Jennings Hall, Room 355
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