The PhD defence will be in Auditorium 4 - Vilhelm Bjerknes' hus. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.
Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence.
- Submit request to access (available from 1nd of August 1:15 pm until 15th of August 1:15 pm)
Trial lecture
15th of August, time: 10:15 am, Auditorium 4.
Main research findings
Mathematical objects often possess some sort of 'symmetry'. For instance, the circle has rotational symmetry; It 'looks the same' even if we rotate it around its center by some angle. Formally this type of symmetry is an example of a group action on a topological space.
Groups can also act on C*-algebras (sometimes called 'quantum spaces'), which are objects that generalize topological spaces. However, in this setting it is interesting to in addition look at 'quantum symmetries'. These are encoded by quantum group actions, which is the overarching topic of the thesis.
On the one hand we consider C*-algebras constructed from certain polynomials, via so-called subproduct systems. These turn out to posess quantum symmetry, something we use both to describe the C*-algebras and to study equivariant KK-theory. The descriptions of the C*-algebras also shed light on representation theory and connections to braided quantum groups.
On the other hand we can start with a quantum group, and consider so-called 'noncommutative boundaries'. Given a compact quantum group we show that its Drinfeld double always has a Furstenberg–Hamana boundary. This is a universal object which is often closely related to the Poisson boundaries.
Adjudication committee
- Professor Christian Voigt, University of Glasgow
- Professor Lyudmila Turowska, University of Gothenburg
- Professor Erik Bedos, University of Oslo
Supervisors
- Professor Sergey Neshveyev, University of Oslo
- Associate Professor Makoto Yamashita, University of Oslo
Chair of defence
Head of Department Geir Dahl
Host of the session
Professor Erik Bedos, University of Oslo