Summary SYM meeting October 2016 AGENDA 1) New people, announcements 2) Organize events 3) DNRF visits on November 21 at 9-12 4) arXiv preprint presentations from August and September (see below for September preprints) ad 1) - Niek de Kleijn and Kristian Knudsen Olesen have succesfully defended their theses - Massimiliano Ungheretti will defend his thesis October 14 - Felix Boes is visiting to give seminar talk - Simon Hausmann has been born (son of Markus Hausmann and Angela Hausmann nŽe Klamt) ad 2) - The department deadline for applying for masterclass funding from the PhD School is October 21. See emails from Mikael R¿rdam for more details. - TopTop in block 2 will this year be 1-week sessions on 9 topics. If you would like to teach 1 week, please let Jesper Grodal know. ad 3) The Danish National Research Foundation (DNRF) funds SYM. Unless you're teaching in group B in block 2, please participate in the meeting. - There will be a presentation on the state of the center. - There will be 2-3 scientific talks. - We will end with a nice lunch. - Before lunch, DNRF would like to speak to *all* postdocs. - Detailed program will be send out. ad 4) See below for September arXiv preprints. 5-minute blackboard preprint presentations by: - Jesper Grodal (arXiv:1608.00499) - Rune Haugseng (arXiv:1608.01290) - Kristian Knudsen Olesen (arXiv:1609.05086) -- September arXiv preprints -- arXiv:1609.07635 Title: Amenable groups of finite cohomological dimension and the zero divisor conjecture Authors: Dieter Degrijse Categories: math.GR Group Theory (math.FA Functional Analysis) Comments: 12 pages Report number: CPH-SYM-DNRF92 Abstract: We prove that every amenable group of cohomological dimension two whose integral group ring is a domain is solvable and investigate certain homological finiteness properties of groups that satisfy the analytic zero divisor conjecture and act on an acyclic CW-complex with amenable stabilisers. -- arXiv:1609.05086 Title: Non-inner amenability of the Thompson groups T and V Authors: Uffe Haagerup, Kristian Knudsen Olesen Categories: math.OA Operator Algebras (math.GR Group Theory) Comments: 13 pages Report number: CPH-SYM-DNRF92 Abstract: In this paper we prove that the Thompson groups $T$ and $V$ are not inner amenable. In particular, their group von Neumann algebras do not have property $\Gamma$. Moreover, we prove that if the reduced group $C^\ast$-algebra of $T$ is simple, then the Thompson group $F$ is non-amenable. Furthermore, we give a few new equivalent characterizations of amenability of $F$.