A double conference is a new eco-friendly conference format, whose purpose is to reduce long-distance travel while still fostering long distance interaction. Events take place in two different locations connected by live video stream.
North American location: Perimeter Institute for Theortical Physics
European location: Max Planck Institute for Mathematics
To download the poster, please click here.
"Higher algebra" has become important throughout mathematics, physics, and mathematical physics, and this conference will bring together leading experts in higher algebra and its mathematical physics applications. In physics, the term "algebra" is used quite broadly: any time you can take two operators or fields, multiply them, and write the answer in some standard form, a physicist will be happy to call this an "algebra". "Higher algebra" is characterized by the appearance of a hierarchy of multilinear operations (e.g. A-infinity and L-infinity algebras). These structures can be higher categorical in nature (e.g. derived categories, cohomology theories), and can involve mixtures of operations and co-operations (Hopf algebras, Frobenius algebras, etc.). Some of these notions are purely algebraic (e.g. algebra objects in a category), while others are quite geometric (e.g. shifted symplectic structures).
An early manifestation of higher algebra in high-energy physics was supersymmetry. Supersymmetry makes quantum field theory richer and thus more complicated, but at the same time many aspects become more tractable and many problems become exactly solvable. Since then, higher algebra has made numerous appearances in mathematical physics, both high- and low-energy.
The conference speakers and participants, drawn from both sides of the Atlantic and connected by live video streams, will explore these myriad aspects of higher algebra in mathematical physics.
To register for the North American event, please click here.