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''
Abstract: I'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.