West Coast Algebraic Topology Summer School

Scientific Plan: The scientific goal is for participants to learn about the different aspects of the study of topological field theories, reaching the research frontier as much as possible. These different aspects include:

(1) the origins of topological quantum field theory in physics;

(2) the mathematical formulation and relation to bordism theory;

(3) extended theories and the cobordism hypothesis;

(4) examples and applications, such as string topology, factorization homology, and examples from representation theory.

Format: Some participants will be preparing and giving lectures which have been planned in advance by the scientific committee. The number of lectures each day will be limited, and the the additional time used for activities to complement lectures. Some possible activities are: question sessions; students working on problems; smaller lectures which could fill in background for less experienced participants (possibly given by other participants with expertise), or could go further into recent advances for more experienced participants; reading; and side discussions. Because of the very different perspectives represented, we will consciously promote opportunities for communication across specialties.