This UCLA Functional Analysis Seminar webpage is part of Sorin Popa's website:  http://www.math.ucla.edu/~popa/
The direct link to this page is:   http://www.math.ucla.edu/~popa/FASeminar.html





Functional Analysis Colloquium
Time and place: Wednesdays 4-5PM in room 6627.
 




Wednesday May 7th
Speaker: Hiroki Sako (UCLA)
Title: ``
Group with the Akemann-Ostrand Property and Orbit Equivalence Rigidity'' 

Abstract: We study new orbit equivalence rigidity theorems.
We prove some indecomposability property for an orbit equivalence relation
given by a non-amenable Akemann-Ostrand group.
We prove a Monod-Shalom type theorem for direct product groups.
We use Ozawa and Popa's techniques, as well as new ones.
Our operator algebraic strategy also proves Monod and Shalom rigidity
theorem for products of word-hyperbolic groups.



 Thursday May 15th, Colloquium Lecture at 3pm in Room 6627
Speaker: Lewis Bowen (University of Hawaii)
Title: ``
New measure-conjugacy invariants for actions of sofic groups
''
AbstractI'll explain the invariants of the title and show how they can be
used to classify the Bernoulli shifts over a sofic group up to
measure-conjugacy. (Sofic groups include all linear groups). This answers a
question of Ornstein and Weiss. The new invariants are similar to the
classical Kolmogorov-Sinai entropy. Together with orbit equivalence (OE) and
von Neumann equivalence (vNE) results due to Sorin Popa, this immediately
yields new classification results for these shifts up to OE and vNE for
large classes of groups.


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List of tentative speakers this academic year (speakers who have given one talk already are marked with *):
Ed Effros*, Yehuda Shalom*, John Roe*, Dima Shlyakhtenko*, Narutaka Ozawa*, Cyril Houdayer*, Stefaan Vaes*,
Darren Creutz*, Alex Furman*, Kenley Jung*, Marta Asaeda*, Dan Shiber*, Jesse Peterson*, Adrian Ioana, Inessa Epstein*, Tim Austin*, Yoshikata Kida*, Yves de Cornulier*, Sorin Popa*, Anatoly Vershik*, Alice Guionnet*, Aviv Censor, Hiroki Sako (05/07),
Lewis Bowen (Th 05/15), Hari Bercovici (Th 05/22), Simon Thomas (Th 05/22, or Fr 05/23), Nicolas Monod (Mo 04/28).


List of people visiting in Spring:
Alice Guionnet (April 19-26), Nicolas Monod (April 25-30),
Lewis Bowen (May 14-16),
Hari Bercovici (May 21-23), Simon Thomas (May 17-25), Masamichi Takesaki (May 9-28).


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Functional Analysis Learning Seminar: This seminar is aimed at presenting
papers of interest for students and/or faculty in our research group. Most talks are given by students.

During Spring 2008, meetings will be Mondays 4-5:30 in 6229. We start the seminar on Monday April 14,
when Jane Sherman and Adam Winchester will present a theorem of V.F.R. Jones and K. Schmidt.