Geometry/Physics Seminar

Speaker: Owen Gwilliam
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Abstract: In joint work with Kevin Costello, we try to capture the rich structure carried by the observables of a quantum field theory (e.g., correlation functions) using the notion of a factorization algebra. The talk will aim to motivate and unpack the definition before moving on to our main theorem, which is a kind of deformation quantization for field theory. The theorem states that the observables of a classical field theory form a commutative factorization algebra and that the Batalin-Vilkovisky procedure deforms this classical factorization algebra into the factorization algebra of observables for the associated quantum field theory. Time permitting, we may discuss examples or the relationship to TFTs (Lurie's topological chiral homology and Morrison-Walker's blob homology).
Date: Thursday, October 29, 2009
Time: 4:00pm
Where: Lunt 107
Contact Person: Erik Carlsson
Contact email: carlsson@math.northwestern.edu
Contact Phone: 7-2321
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