Gauge theory on quantum principal bundles

Abstract: In this talk, I’ll give a brief (and somewhat idiosyncratic) introduction to gauge theory on quantum principal bundles. I’ll give a quick overview of the classical setting and sketch its noncommutative generalisation à la Brzeziński–Majid, Hajac, et al. Then I’ll revisit the notions of principal connection and gauge transformation from the perspective of recent work by Ć.–Mesland. I'll illustrate these concepts using the irrational rotation algebra as a quantum principal U(1)-bundle over the circle.

Mathematics

Audience: researchers in the topic

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 sju.webex.com/meet/nikolaei (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.