17-21 August 2009
New York NY, U.S.A.
Effective Mathematics of the Uncountable (EMU 2009) August 17-21, 2009 The CUNY Graduate Center 365 Fifth Avenue, New York City Although classical computable model theory is most naturally concerned with countable domains, several methods---some old, some new---extend its basic concepts to uncountable structures. The purpose of this workshop is to study these various extensions of effectivity to the uncountable, bringing together experts in such topics as sigma-definable structures, alpha-recursion theory, E-recursion thoery, ordinal computability, Blum-Shub-Smale machines, infinite time Turing machines and locally computable structures, among others. This workshop is the second of its kind, after the inaugural EMU in 2008. In the 2009 workshop we plan to provide tutorial-type introductions to models of computation which were not discussed last year, as well as discuss progress made since last year. A particular theme we plan to focus on is the role of a computable well-ordering of the universe of a structure. We will contrast the approaches which allow such an ordering with those which forbid it. We expect this will have methodological repercussions for the study of effective model theory on countable structures as well. Organizers: Noam Greenberg, Noam.Greenberg@mcs.vuw.ac.nz Joel Hamkins, jdh@hamkins.org Denis Hirschfeldt, drh@math.uchicago.edu Russell Miller, Russell.Miller@qc.cuny.edu This EMU workshop is funded by a generous grant from the Templeton Foundation, a part of their program Exploring the Infinite, Phase I: Mathematics and Mathematical Logic. All interested participants are welcome to attend the workshop. There is no registration fee. Limited funds are available to support graduate student and junior faculty participants. Please contact Denis Hirschfeldt or the other organizers about travel funding.