Noncommutative geometry in effective field theory and large N phenomena

Abstract: In this talk I will discuss the notion of an effective field theory, as formally introduced by Costello, and its manifestation in the framework of noncommutative geometry introduced by Kontsevich. Noncommutative geometry arises within this context from replacing ordinary Feynman diagrams with diagrams of interacting open strings, and I will explain how the large N phenomena first discovered by ‘t Hooft arises in this framework. Here a connection can be made between these open string type theories that arise in noncommutative geometry and large N gauge theories using the Loday-Quillen-Tsygan theorem from algebraic K-theory. If time permits, I may discuss the treatment of the Batalin-Vilkovisky formalism within this context and the connection with moduli spaces of Riemann surfaces.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

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Noncommutative geometry in NYC

Series comments: Noncommutative Geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. Our seminar welcomes talks in Number Theory, Geometric Topology and Representation Theory linked to the context of Operator Algebras. All talks are kept at the entry-level accessible to the graduate students and non-experts in the field. To join us click meet.google.com/zjd-ehrs-wtx (5 min in advance) and igor DOT v DOT nikolaev AT gmail DOT com to subscribe/unsubscribe for the mailing list, to propose a talk or to suggest a speaker. Pending speaker's consent, we record and publish all talks at the hyperlink "video" on speaker's profile at the "Past talks" section. The slides can be posted by providing the organizers with a link in the format "myschool.edu/~myfolder/myslides.pdf". The duration of talks is 1 hour plus or minus 10 minutes.

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