Neostability Theory (15w5145)

Arriving in Oaxaca, Mexico Sunday, July 12 and departing Friday July 17, 2015

Organizers

Bradd Hart (McMaster University)

Ehud Hrushovski (Hebrew University at Jerusalem)

Alf Onshuus (Universidad de los Andes, Edificio H)

(University of Notre Dame)

(University of California at Berkeley)

(Université Claude Bernard Lyon 1)

Description

The Casa Matemática Oaxaca (CMO) will host the "Neostability Theory" workshop from July 12th to July 17th, 2015.



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 Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide 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 in Banff 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). The research station in Oaxaca is funded by CONACYT.