Hochschild Cohomology of Algebras: Structure and Applications (07w5075)

Arriving in Banff, Alberta Sunday, September 2 and departing Friday September 7, 2007


(University of Nebraska)

Ragnar-Olaf Buchweitz (University of Toronto Scarborough)

Karin Erdmann (University of Oxford)

Jean-Louis Loday (Institut de Recherche Mathématique Avancée)

(Texas A&M University)


No two maple leafs or snowflakes are alike, but nobody would mistake a specimen of the former for the latter. To work out what unites or differentiates structures is codified in mathematics through homological (= "look alike") theories and one of the most powerful ones is Hochschild (co-)homology, introduced more than 60 years ago but still in its infancy: current uses influence fundamental areas of research, from homological algebra, ring theory (and variations) to representations of groups, to Hilbert spaces, homotopy theory, symplectic geometry, and mathematical physics, where it is thought to represent a fundamental incarnation of the tiniest potential building blocks of nature, the "strings".

More than 40 internationally renowned mathematicians from different fields and continents who use or explore Hochschild cohomology will come together at the Banff International Research Station, September 2-7, 2007, to compare notes and to seize the chance to get new insight into known results, explain questions pertinent to their area to experts from other areas, and so to prepare the ground for the transfer of ideas and for the opportunity of new discoveries that would be difficult to obtain in isolation.

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 US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).