Conference "Higher algebra and mathematical physics", August 13 - 17, 2018

Double conference "Higher algebra and mathematical physics"

August 13 - 17, 2018

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

"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-infty and L-infty algebras). These structures can be higher categorical in nature (e.g. derived categories, cohomology theories), and can involve mixtures of operations and cooperations (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.

Organizers

David Ayala (Montana State University)
Lukas Brantner (Max Planck Institute for Mathematics)
Kevin Costello (Perimeter Institute)
Owen Gwilliam (Max Planck Institute for Mathematics)
Andre Henriques (Oxford University)
Theo Johnson-Freyd (Perimeter Institute)
Aaron Mazel-Gee (University of Southern California)
Peter Teichner (Max Planck Institute for Mathematics)

Financial support

Limited financial support is available. If you need support, you can add your request on the registration webform with a brief justification. Requests for financial support will have to be made by April 30, 2018.

Hotel reservations

If you would like us to make a hotel reservation for you, please state this on the registration webform. We can only honor requests for hotel reservations made by July 10, 2018. If you would like to make a hotel reservation by yourself you will find a list of hotels here.

Contact

If you have any questions, please feel free to contact HAMP-Bonn@mpim-bonn.mpg.de

Anhang	Größe
HigherAlgebraMathematicalPhysics.jpg	5.54 MB
Program-Abstracts-HAMP.pdf	265.34 KB