SCIENTIFIC PROGRAMS AND ACTIVITIES

August 22, 2014
Focus Program on Whitney Problems
August 27-September 30, 2012
Host by the Fields Institute

August 27-31, 2012
Workshop on Whitney type extension and trace problems

Organizers:
Alexander Brudnyi University of Calgary
Charles Fefferman,Princeton University
Pierre Milman, University of Toronto

 Workshop Schedule (abstracts)              
Monday, August 27, 2012: Princeton Sobolev-Whitney Day
9:00 – 9:30 Opening remarks
9:30 – 10:30 Mini-course: “Whitney’s extension problem in Sobolev spaces”, Lecture 1
Charlie Fefferman, Arie Israel, Kevin Luli
10:30 – 11:00 Coffee Break
11:00 – 12:00 Mini-course: “Whitney’s extension problem in Sobolev spaces”, Lecture 2
Charlie Fefferman, Arie Israel, Kevin Luli
12:00 – 2:00 Lunch Break
2:00 – 3:00 Mini-course: “Whitney’s extension problem in Sobolev spaces”, Lecture 3
Charlie Fefferman, Arie Israel, Kevin Luli
3:00 – 3:30 Coffee Break
3:30 – 4:10 Mini-course: “Whitney’s extension problem in Sobolev spaces”, Lecture 4
Charlie Fefferman, Arie Israel, Kevin Luli
4:20 – 5:00 Mini-course: “Whitney’s extension problem in Sobolev spaces”, Lecture 5
Charlie Fefferman, Arie Israel, Kevin Luli
Tuesday, August 28, 2012: Non-Princeton Sobolev-Whitney Day
9:00 – 9:45 A general theorem of existence of quasi absolutely minimal Lipschitz extensions
Matthew Hirn, Yale University (joint work with Erwan Le Gruyer)
9:45 – 10:15 Coffee Break
10:15 – 11:00 Quantization of Whitney problems
Nahum Zobin, College of William and Mary
11:15 – 12:00 Sobolev Spaces and the Whitney Extension Theorem
Piotr Hajlasz, University of Pittsburgh slides
12:00 – 1:30 Lunch Break
1:30 – 2:10 Extension of Sobolev Functions to Capacitory Boundaries
Vladimir Gol’dshtein, Ben-Gurion University of the Negev (joint with Alexander Ukhlov).slides
2:20 – 3:00 Properties of sheaves in the Kohn algorithm
Andreea Nicoara, University of Pennsylvania
3:00 – 3:30 Coffee Break
3:30 - 4:30 Distinguished Lecture Series
The Lipschitz Extension Problem, 1
Assaf Naor, Courant Institute of Mathematical Sciences, New York University
4:30 - 6:00 Reception
Wednesday, August 29, 2012: Session In Honour Of Yuri Brudnyi
9:00 – 9:45 Covering of a dyadic sieve and nonlinear approximation of BV functions
Yuri Brudnyi, Technion - Israel Institute of Technology
9:45 – 10:15 Coffee Break
10:15 – 10:45 Spaces of Besov type defined on fractals
Alf Jonsson, Umeň University
11:00– 11:50 Sobolev L2 p-functions on closed subsets of R2,1
Pavel Shvartsman, Technion - Israel Institute of Technology slides
11:50 – 1:30 Lunch Break
1:30 – 2:20 Sobolev L2 p-functions on closed subsets of R2,1
Pavel Shvartsman, Technion - Israel Institute of Technology
2:30 – 3:00 Smoothness spaces on Ahlfors regular sets
Lizaveta Ihnatyeva, University of Helsinki (joint work with A.V. V¨ah¨akangas and with R. Korte).slides
3:00 – 3:30 Coffee Break
3:30 - 4:30 Distinguished Lecture Series
The Lipschitz Extension Problem, 2
Assaf Naor, Courant Institute of Mathematical Sciences, New York University
Thursday, August 30, 2012: Applied Morning/Banach Afternoon
9:00 – 9:45 Reconstruction of Piecewise Ck - Functions From Point-wise and Fourier Samples
Yosef Yomdin, The Weizmann Institute of Science (joint work with D. Batenkov).
9:45 – 10:15 Coffee Break
10:15 – 10:45 Gradual Variations and Partial Differential Equations
Chen Li, University of the District of Columbia slides
11:00– 11:45 On the approximation properties of spaces predual to H1-spaces
Alex Brudnyi, University of Calgary slides
11:45 – 1:30 Lunch Break
1:30 – 2:10 The non-existence of the Banach lattice structure on the Sobolev spaces and space of functions of bounded variation
Michal Wojciechowski, Polish Academy of Sciences (joint with A. Pelczynski)
2:20 – 3:00 On the dependence of isomorphic type of spaces of smooth functions on the domain
Michal Wojciechowski, Polish Academy of Sciences
3:00 – 3:30 Coffee Break
3:30 - 4:30 Distinguished Lecture Series
The Lipschitz Extension Problem, 3
Assaf Naor, Courant Institute of Mathematical Sciences, New York University
Friday, August 31, 2012: o-Minimal
8:45 – 9:25 Some conjectures
Erwan Le Gruyer, INSA de Rennes
9:25 – 10:05 Sobolev Spaces and Newton-Lagrange interpolation (abstract)
Bogdan Bojarski, Polish Academy of Sciences
10:05 – 10:30 Coffee Break
10:30– 11:15 Approximation of o-minimal maps satisfying a Lipschitz condition
Krzysztof Kurdyka, Université de Savoie
11:30 – 12:30 Definable Version of Whitney’s Extension Theorem
Athipat Thamrongthanyalak, UCLA (joint work with Matthias Aschenbrenner)
12:30 - 2:00 Lunch Break
2:00 - 3:00 Sobolev L_2 spaces on closed subsets of R^2, 3
Pavel Shvartsman, Technion - Israel Institute of Technology