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May 14-19, 2012
Workshop on Recent Advances in General Topology, Dimension
Theory, Continuum Theory and Dynamical Systems
Hosted by Nipissing University,
North Bay
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Supported by
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Organizing Committee
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John C. Mayer (U. of
Alabama Birmingham)
Alexandre Karasev (Nipissing)
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Murat Tuncali (Nipissing)
Vesko Valov (Nipissing)
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The history of workshops at Nipissing can be found at
http://www.nipissingu.ca/topology . These workshops started
in 1994, initially in areas of continuum theory and dynamical systems.
Since 2003 they have become larger and the focus of the workshops
has been General Topology, Geometric Topology and related areas.
The purpose of these workshops/seminars has been mainly to provide
opportunity to researchers to learn a new area as well as opportunity
to collaborate. As a result of these workshops there have been numerous
collaborations dealing with problems in dimension theory, geometric
topology, C*-algebras, set-theoretic topology,
continuum theory and complex dynamics.
Overview
The workshops will take place over five days. There will be three
or four one-hour talks each day. Some of the speakers will give
a series of lectures and some may give only one lecture. The format
of the workshops is designed to maximize the interaction among the
participants beyond the lectures. In addition, we plan to have a
1-hour question-and-answer meeting for junior researchers and students
with the day’s speakers each afternoon. This has been a very
successful part of previous workshops, appreciated by the students
and young researchers for the opportunity to ask questions in a
less formal setting.
Scientific focus
In these workshops, the focus will be on general topology, continuum
theory, dimension theory and dynamical systems. Over the last decade,
the interactions among analysis, general topology, dimension theory,
continuum theory and dynamical systems have increased. For instance
there has been significant progress made in understanding the structure
of plane continua. Solution of Lelek’s problem on Span by Logan
Hoehn, the work of Overstegeen and Tymchatyn on the extending isotopies
of plane continua are some of the examples. In addition, the progress
in the study of Julia sets motivated the study of continua in the
plane. Recent work on buried points of plane continua by two of
the organizers and others is a good example. Furthermore, there
has been progress in the study of homogenous compact spaces, in
the study of maps of compact spaces with various dimension theoretic
properties, and, where these topics intersect with analysis, topological
groups. In these workshops, the focus will be in the interaction
among
continuum theory, dimension theory, general topology and dynamical
systems. A list of possible topics include:
• Continua in the plane
• Complex dynamics and complex topology
• Topological models for Julia sets of rational and entire
maps
• Buried points of continua in the plane and their topological
and measure-theoretic
properties
• Tiling Spaces
• Euclidean Manifolds and Homogeneous Spaces
• Topological groups
• Spaces of continuous maps of manifolds
• Dimension theory and extension theory
• Infinite dimensional topology
Confirmed Speakers:
Sergey Antonyan, UNAM, Mexico
Taras Banakh, Ivan Franko Lviv National University, Ukraine
Logan Hoehn, U. of Alabama- Birmingham
Jan van Mill, VU-Amsterdam
Piotr Minc, Auburn University
Lex Oversteegen, U. of Alabama-Birmingham
Juris Steprans, York University
E.D. Tymchatyn, U. of Saskatchewan
Confirmed Participants as of May 19,
2012
| Full Name |
University/Affiliation |
| Antonyan, Natella |
Tecnológico de Monterrey CCM |
| Antonyan, Sergey |
UNAM |
| Banakh, Taras |
Ivan Franko National University of L'viv |
| Barry, Brandon |
University of Alabama at Birmingham |
| Brazas, Jeremy |
University of New Hampshire |
| Burdick, Bruce |
Roger Williams University |
| Curry, Clinton |
Huntingdon College |
| Das, Manav |
University of Louisville |
| De Silva, Nadeeka |
Texas Tech University |
| Eslami, Peyman |
Concordia University |
| Gould, Frank |
Central Connecticut State University |
| Hart, Joan |
University of Wisconsin Oshkosh |
| Hoehn, Logan |
University of Alabama at Birmingham |
| Karasev, Alexandre |
Nipissing University |
| Kibedi, Francisco |
York University |
| Kovan-Bakan, Merve |
University of Pittsburgh |
| Martinez de la Vega, Veronica |
Universidad Nacional Autonoma de México |
| May, Natasha |
York University |
| Mayer, John C. |
University of Alabama at Birmingham |
| Minc, Piotr |
Auburn University |
| Oversteegen, Lex |
University of Alabama at Birmingham |
| Ptacek, Ross |
University of Alabama at Birmingham |
| Singh, Mahender |
Institute of Mathematical Sciences |
| Steprans, Juris |
York University |
| Sturm, Frank |
Auburn University |
| Tuncali, Murat |
Nipissing University |
| Tymchatyn, Edward |
University of Saskatchewan |
| Valov, Vesko |
Nipissing University |
| van Mill, Jan |
Vrije Universiteit |
| Wu, Enxin |
University of Western Ontario |
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