You are most cordially invited to Yeditepe Mathematics Department Seminars. The details of this week's talk are as follows. The seminar will be online via google meet. 

Speaker: Juan Orendain (Case Western Reserve University)

Title: Compositional Quantum Field Theory

Abstract: Compositional Quantum Field Theory (CQFT) is an axiomatic framework for reasoning about Quantum Field Theory, based on the principles of locality and compositionality. The first ingredient of CQFT is a spacetime gluing syntax based on gluing maps and gluing diagrams. I will present this in detail. Once this is set up, I will introduce CQFT axiomatically, and I will show how to recast these axioms as a type of functorial semantics translating our spacetime syntax into Hilbert spaces, using algebras over *-operads and constrained maps between them. Finally, we will investigate how in CQFT in dimension 2, e.g. in 2 dimensional Quantum Yang-Mills theory, our functorial semantics viewpoint allows for certain structures to emerge from first principles. An example of this is the structure of cyclic, involutive A_oo-algebra on the state space of the interval.
 

Date: Friday, May 16, 2025
Time: 18:00 Istanbul Time / 08:30 Cleveland Time
Place: Google Meet, link: meet.google.com/cze-opvz-ojj

Listing: https://researchseminars.org/seminar/7tepemathseminars