Neostability theory (12w5045)

Organizers

Bradd Hart (McMaster University)

Ehud Hrushovski (Hebrew University at Jerusalem)

Alf Onshuus (Universidad de los Andes)

Anand Pillay (University of Leeds)

(University of California, Berkeley)

(Université Claude Bernard Lyon 1)

Description

The Banff International Research Station will host the "Neostability theory" workshop from January 29th to February 3rd, 2012.




Stability theory, in the sense of mathematical logic, consists of a collection of technical methods first developed to address the logical problem of classifying abstract models of mathematical theories. Stability theory has proven to be applicable to other mathematical problems ranging from understanding rational solutions of algebraic equations to setting definite bounds in learning processes in artificial intelligence. It has recently been shown that the techniques and methods used for the classification described above can be used in much more general settings with applications to algebraic geometry and additive combinatorics. Researchers at this meeting will study these developments to extend the scope of stability theory to a wider range of mathematical theories.



The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).