 |
Geometrization of Probability
Fields Institute Workshop
held at the University of Ottawa
September 22 - 24, 2007
Start time 3:00 p.m. Saturday
|
University of Ottawa |
Schedule of talks
September 22 - 24, 2007
Note all the registered participants can access the computer
lab in the Montpetit Hall, room 142, by presenting their
workshop badge.
|
| Saturday, Sept. 22
Fauteux Hall, room FTX 137 (campus
map) |
| 3:00 - 3:50 p.m. |
Elisabeth Werner (Case Western Reserve University)
Maxima and Minima of sequences of random variables
|
| 4:00 - 4:50 p.m. |
Stanislaw Szarek (Case Western Reserve University/Paris
6)
Convex sets of quantum information theory |
| 5:00 - 5:30 p.m. |
Dmitry Ryabogin (Kansas State University)
On the local equatorial characterization of zonoids |
| Sunday, Sept. 23 Fauteux Hall, room FTX
137 |
| 9:30 -10:00 a.m. |
Emanuel Milman (Institute for Advanced Study)
Weak-type Poincaré inequalities and concentration of
Lipschitz functions on convex domains |
| 10:10 - 11:00 a.m. |
Mini-course
Shiri Artstein-Avidan (Tel-Aviv University)
Characterization of duality I |
| 11:10 - 12:00 a.m. |
Mini-course
Boaz Klartag (The Princeton University and Clay Institute)
A central limit theorem for convex bodies I |
| |
Lunch time |
| 2:00 - 2:50 p.m. |
Minicourse
Robert McCann (University of Toronto)
Continuity, curvature, uniqueness, and general covariance
of optimal transportation I |
| 3:00 - 3:50 p.m. |
Nicole Tomczak-Jaegermann (University of Alberta)
Estimates for linear images of random subgaussian vectors |
| |
coffee break 30 min. |
| 4:20 - 5:10 p.m. |
Sasha Sodin (Tel-Aviv University)
An isoperimetric inequality for uniformly convex bodies
(joint work with Emanuel Milman). |
| 5:20 - 6:10 p.m. |
Alexander Litvak (University of Alberta)
On expecations of order statistics |
| Monday, Sept. 24 Lamoureux
Hall, room LMX 121 (campus
map) |
| 9:00 - 9:50 a.m. |
Mini-course
Boaz Klartag (The Princeton University and Clay Institute)
A central limit theorem for convex bodies II |
| |
long break, including very early lunch |
| 12:00 - 12:50 p.m. |
Mini-course
Shiri Artstein-Avidan (Tel-Aviv University)
Characterization of duality II |
| 1:00 - 1:50 p.m. |
Lamoureux Hall, room LMX 106
**note a different room
Minicourse
Robert McCann (University of Toronto)
Continuity, curvature, uniqueness, and general covariance
of optimal transportation II |
| |
coffee break (same room LMX 106) |
| 2:30 - 3:00 p.m. |
Lamoureux Hall, room LMX 121
**a different room again
Artem Zvavitch (Kent State University)
Brunn-Minkowski type inequalities for Gaussian measure
(joint work with Richard Gardner) |
| 3:00 - 3:50 p.m. |
discussion |
Subject topic:
Recent decades have seen a remarkable degree
of interaction between probability theory and high-dimensional
convexity theory. The framework of the subject involves very high
dimensional spaces (normed spaces, convex bodies) and accompanying
asymptotic phenomena as the dimension goes to infinity.
Recent examples include the Prekopa--Leindler
inequality (a functional version of the classical Brunn--Minkowski
inequality), a functional version of the Blaschke-Santalò
inequality, and a very recent remarkable proof by Klartag of a
version of the Central Limit Theorem for high-dimensional convex
sets.
Concepts, results and approaches of a new
theory developed in the framework of geometrization of probability
will benefit many mathematicians using in one form or another
probabilistic and functional-analytic methods in their work. The
lecturers at the workshop are today's foremost experts in the
area.
Workshop format:
Minicourses given by the minicourse lecturers,
one-hour invited lectures, and possibly time for short communications
and a discussion of open problems.
Registration fees:
$ 50 for faculty, $ 25 for postdocs.
Financial support:
Available for graduate students and postdoctoral fellows (funds
permitting). Deadline of June 15 and the funding decisions to
be made by mid-June. If you have any specific questions, please
contact Vladimir Pestov at: vpest283@uottawa.ca
Participant List as of September
17, 2007
| Fullname |
University/Affiliation |
| Artstein-Avidan, Shiri |
Tel Aviv University |
| Bailey, Michael |
University of Toronto |
| Cazaubon, Verne |
University of Ottawa |
| Cima, Joseph |
University of North Carolina |
| Ghandehari, Mahya |
University of Waterloo |
| Hatami, Hamed |
University of Toronto |
| Klartag, Boaz |
The Princeton University and Clay Institute |
| Kritchevski, Evgenij |
McGill University |
| Litvak, Alexander |
University of Alberta |
| Madiman, Mokshay |
Yale University |
| McCann, Robert |
University of Toronto |
| Milman, Emanuel |
Institute For Advanced Study |
| Milman, Vitali |
Tel Aviv University |
| Pestov, Vladimir |
University of Ottawa |
| Ryabogin, Dmitry |
Kansas State University |
| Sodin, Sasha |
Tel Aviv University |
| Szarek, Stanislaw |
Case Western Reserve University |
| Tomczak-Jaegermann, Nicole |
University of Alberta |
| Volnyansky, Ilya |
University of Ottawa |
| Werner, Elisabeth |
Case Western Reserve University |
| Zvavitch, Artem |
Kent State University |
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