Mathematics Colloquium

From Feynman diagrams to commutative diagrams

Owen Gwilliam, Department of Mathematics & Statistics, U Mass, Amherst,

Factorization algebras are local-to-global objects on manifolds that play a role in quantum field theory akin to the role of sheaves in geometry. This talk will introduce them and explain how they provide a bridge from perturbative quantum field theory to higher algebra. Chern-Simons theory will provide a running example, and the talk will culminate in explaining joint work with K. Costello and J. Francis in which we recover quantum groups from the factorization algebra of Chern-Simons theory.

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For more information, please contact Mathematics Department by phone at 4335 or by email at [email protected].