Twisted spectral triples and pseudodifferential calculus on quantum projective spaces

Robert Yunken (Université Clermont Auvergne)

Tuesday 31st October, 2017 16:00-17:00 311B


Quantum groups and their homogeneous spaces are naturally occurring noncommutative spaces.  But incorporating them into Connes-style noncommutative geometry is more difficult than one might hope.  For instance, the quantum sphere $\mathbb{C}P^1_q$ is the only quantum homogeneous space for which we have a local index formula (due to Neshveyev-Tuset).  In this talk, we will describe some progress on the noncommutative geometry of the higher dimensional quantum projective spaces.  En route, we will have to sort out what "regularity" means for a twisted spectral triple.  (Joint work with Marco Matassa.)

Add to your calendar

Download event information as iCalendar file (only this event)