Interactions between Brauer Groups, Derived Categories and Birational Geometry of Projective Varieties (19w5164)

The Banff International Research Station will host the "Interactions between Brauer Groups, Derived Categories and Birational Geometry of Projective Varieties" workshop in Banff from November 10, 2019 to November 15, 2019.

There are deep interrelations between ideas from non-commutative algebra, geometry and Mathematical Physics. Some of these interconnections are revealed through the study of Brauer groups of function fields, bounded derived categories of coherent sheaves on projective varieties and Mori's minimal model program. The mathematically rigorous interactions between these topics provide some motivation for the proposed workshop Interactions between Brauer Groups, Derived Categories and Birational Geometry of Projective Varieties. Some underlying themes are questions which pertain to rationality of algebraic varieties. In particular, the concepts of rational, unirational and stably rational varieties. As one outcome, this workshop will facilitate interdisciplinary research collaborations amongst researchers with expertise in the subjects of Brauer groups, derived categories and birational geometry.

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).