Minicourse: Applications of model theory to operator algebras, III

Abstract: In these three talks, I will outline several applications of model theory to operator algebras. In the first talk, I will explain how model theory sheds light on the recent resolution of the Connes Embedding Problem from the quantum complexity result known as MIP*=RE. In the second talk, I will explain how the ideas from the first talk also give information about the class of QWEP C*-algebras introduced by Kirchberg in the 1990s. In the final talk, I will discuss two problems centered around relative commutants of tracial von Neumann algebras in ultrapowers and how they are intimately connected with model theoretic ideas. These talks will be independent of each other and from the talk I gave in this seminar in the fall.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( slides | video )

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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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