Matematik Bölümü Semineri: Juan Orendain (Case Western Reserve University)

Yeditepe Üniversitesi Matematik Bölümü Seminerleri kapsamında bu hafta yapılacak olan seminerimizin detayları aşağıdaki gibi olup tüm ilgilenenler davetlidir. 

Konuşmacı: Juan Orendain (Case Western Reserve University)

Başlık: Compositional Quantum Field Theory

Özet: 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.
 

Tarih: Friday, May 16, 2025
Saat: 18:00 
Yer: (Google Meet)  meet.google.com/cze-opvz-ojj