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THEMATIC PROGRAMS |
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| December 23, 2024 |
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Thematic Program on Set Theory and AnalysisWorkshop on Descriptive Set Theory, Analysis and Dynamical Systems
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| Schedule and Abstracts | Audio and Slides | Thematic Year Homepage |
| Housing and Hotels | Group Photo | Visitor Information |
Rationale:
Descriptive set theory is the study of definable sets and functions
in Polish (complete separable metric) spaces. During the last few decades,
intriguing connections have been discovered between descriptive set
theory and other fields of mathematics, such as classical real analysis,
probability theory, potential theory, harmonic analysis, Banach space
theory, and ergodic theory.
More recently, a very promising new area, that is now very actively
investigated, deals with the development of a theory of complexity of
classification problems in mathematics, and the closely related theory
of descriptive dynamics, i.e., the theory of definable actions of Polish
groups on Polish spaces. A classification problem is in general the
question of cataloging a class of mathematical objects up to some notion
of equivalence by invariants.
This work brings descriptive set theory into contact with current developments
in various areas of mathematics such as dynamical systems, including
ergodic theory and topological dynamics, the theory of topological groups
and their representations, operator algebras, geometric and combinatorial
group theory, etc. Moreover, it provides new insights in the traditional
relationships of descriptive set theory with other areas of mathematical
logic, as, for example, with recursion theory, concerning the global
structure of Turing degrees or with model theory, through the Topological
Vaught Conjecture and the general study of the isomorphism relation
on countable structures. This subject is now developing very rapidly
but many fundamental questions still remain unanswered.
The goal of the workshop is to bring together researchers interested
in descriptive set theory and its applications or connections with other
areas, in order to survey the latest developments and provide them the
opportunity to collaborate on such projects.
Accommodation:
A block of rooms for participants have been arranged the hotels listed
below. Please request the Fields Institute rate when booking
. Rooms must be reserved before September 6, 2002 to ensure availability.
For additional accommodation resources, please see the Fields
Housing page
| Days
Inn (10-15 minutes walk from the Institute) 30 Carleton Street, Toronto, ON, M5B 2E9 Tel: 416 977-6655 Toll Free 1-800-367-9601 (8:30 am- 6pm) (approx. $125/night CDN) |
Quality
Hotel (10-15 minutes walk from the Institute) 280 Bloor Street West Toronto, ON, M5S 1V8 Tel: (416) 968-0010 Fax: (416) 968-7765 (approx. $115/night CDN) |
To receive on-going information about this program please subscribe to the mail list or contact settheory@fields.utoronto.ca