Littlewood-Paley inequalities and other analytic issues in noncommutative Euclidean spaces

Abstract: I will discuss some analytic issues that arose in the course of investigations of the problem of characterising quantum differentiability in noncommutative spaces. These issues highlight some of the peculiar features of certain noncommutative spaces where classical results become meaningless or trivially false. In particular I discuss the apparent lack of a Poincaré inequality on noncommutative Euclidean planes (Moyal planes) and how this necessitates the use of new techniques.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( video )

---

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.

***** We're transitioning to a new platform google meet. Please bear with us and we apologize for the inconvenience! ****

---