Set theory of the Reals (19w5064)


Michael Hrusak (Universidad Nacional Autónoma de México)

Joerg Brendle (Kobe University)

(York University)


The Casa Matemática Oaxaca (CMO) will host the "Set theory of the Reals" workshop in Oaxaca, from August 4, 2019 to August 9, 2019.

The workshop is designed to explore the strong connection that exists between set theory, algebra and analysis. The set-theoretic methods involved include infinitary Ramsey theory, descriptive set theory and forcing. The focus of the workshop will be on cardinal invariants of the continuum, their applications and relevant forcing techniques, in particular, the higher dimensional matrix iterations, and the method of Boolean ultrapowers.

The program will bring together senior leaders in the field, and students and junior researchers, especially young mathematicians from Latin America, who would benefit greatly from such an experience.

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