An Algebraic Approach to Multilinear Maps for Cryptography (18w5118)

The Banff International Research Station will host the "An Algebraic Approach to Multilinear Maps for Cryptography" workshop from May 6th to May 11th, 2018.

The infrastructure of modern society depends on secure and efficient cryptography. Cryptographic methods in turn depend on increasingly sophisticated techniques in number theory and arithmetic geometry. This workshop will bring cryptographers, number theorists and arithmetic geometers together to discuss problems of central importance to the future of electronic communication. Advances over the past 15 years have opened up the possibility of a revolution in the parts of cryptography pertaining to multilinear maps. This workshop will lay the foundations for such a revolution by focusing on potential constructions of cryptographically useful multilinear maps using cup product maps in the \'etale cohomology and K-theory of arithmetic schemes. By bringing together researchers from arithmetic geometry with cryptographers who are directly familiar with what is needed for a major advance, we will prepare the ground for important new developments in both subjects.

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).