Chromatic Homotopy and Algebraic K-Theory (21w5174)


(University of Illinois at Chicago)

Gijs Heuts (University of Utrecht)

Thomas Nikolaus (Universitat Munster)


The Casa Matemática Oaxaca (CMO) will host the "Chromatic Homotopy and Algebraic K-Theory" workshop in Oaxaca, from May 23 to May 28, 2021.

This workshop focuses on the interaction between algebraic $K$-theory and chromatic homotopy theory. Algebraic $K$ theory translates fundamental arithmetic and geometric information about a ring or scheme into homotopy theory. The chromatic perspective is a fundamental organizing principle of homotopy theory, decomposing a space or spectrum into certain `prime localizations'. Recent major advances use these localizations to prove descent results for algebraic $K$ theory, or give vanishing results for $K$-theory in certain cases. This conference gathers mathematicians working in algebraic $K$-theory and in chromatic homotopy theory to explore these recent advances, work on open problems, and set the syllabus for future work in the field.

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