SCIENTIFIC PROGRAMS AND ACTIVITIES

September 22, 2014

Geometrization of Probability
Fields Institute Workshop
held at the University of Ottawa

September 22 - 24, 2007
Start time 3:00 p.m. Saturday

Organizers: Vitali Milman (Tel-Aviv University), Vladimir Pestov (University of Ottawa)

University of Ottawa
Registration
on-site after Sept. 15
Fee: $ 50 for faculty, $ 25 for postdocs.
Fee waived for invited speakers.
Participant List
Travel and Accommodation in 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