Since the work of Cipriani on one hand and Goldstein and Lindsay on the other in the 1990s it is known that certain natural class of symmetric Markov semigroups on a von Neumann algebra $M$ equipped with a faithful normal state admits extensions to associated Haagerup $L^p$spaces and is characterised via a Dirichlet property of the generating quadratic form on the $L^2$space. Recently Cipriani, Franz and Kula studied a special class of such semigroups associated to compact quantum groups. In this talk I will discuss how their results extend to the framework of locally compact quantum groups, where two new important technical features appear: there is no natural "algebraic" domain for the generator and one needs to work with weights, as opposed to finite states (using the extension of the appropriate Dirichlet form result provided by Goldstein and Lindsay). I will also present some applications of Dirichlet forms to the study of geometric properties of quantum groups. This is based on joint work with A.Viselter.
You are here
Translation invariant Dirichlet forms in the context of locally compact quantum groups
Research Group:
Adam Skalski
Institution:
Impan (Warsaw)
Location:
A136
Schedule:
Monday, April 23, 2018  14:15 to 15:15
Abstract:
Openings
 Public calls for academic personnel (Permanent positions)
 Professors (Temporary/Researchers/Visiting Professors)
 SISSA Mathematical Fellowships
 Post Doctoral Fellowships
 PhD Scholarships
 Call for Applications (PhD)
 Undergraduate Fellowships
 Postgraduate Fellowships
 Master of Science in Mathematics
 Marie SklodowskaCurie Grants
Upcoming events

Yash Jhaveri
On the (in)stability of the identity map in optimal transportation
Tuesday, April 24, 2018  14:30

Mikhail Sychev
Lower semicontinuity and relaxation for extendedvalued integrands
Tuesday, April 24, 2018  16:00

Christopher J. Larsen
Minimality for limits of unilateral cohesive energy minimizers
Thursday, April 26, 2018  16:00

Riccardo Montalto
Normal form coordinates for the KdV equation near finite gap potentials
Thursday, May 3, 2018  14:30
Today's Lectures

Antonio Lerario
09:00 to 11:00

Luca Heltai
11:00 to 13:00

Gianluigi Rozza
11:00 to 13:00

Fabio Cavalletti
11:00 to 13:00

Ugo Boscain
11:00 to 13:00
Recent publications

G. Dal Maso; C.J. Larsen; R. Toader,Existence for elastodynamic Gr...

F. Cagnetti; G. Dal Maso; L. Scardia; C.I. Zeppieri,Stochastic homogenisation of f...

A. Michelangeli; P.Thanh Nam; A. Olgiati,Ground state energy of mixture...

A. Michelangeli; A. Olgiati,Effective nonlinear spinor dy...