Workshop on Whitney Type Extension and Trace Problems

August 27 - 31, 2012, The Fields Institute

Schedule

Monday, August 27th, 2012
09:00 to 09:30	Opening Remarks
09:30 to 10:30	Mini-course: “Whitney’s extension problem in Sobolev spaces”, Lecture 1 Charles Fefferman, Princeton University, Arie Israel, University of Texas at Austin, Kevin Luli, University of California Davis
10:30 to 11:00	Coffee Break
11:00 to 12:00	Mini-course: “Whitney’s extension problem in Sobolev spaces”, Lecture 2 Charles Fefferman, Princeton University, Arie Israel, University of Texas at Austin, Kevin Luli, University of California Davis
12:00 to 14:00	Lunch Break
14:00 to 15:00	Mini-course: “Whitney’s extension problem in Sobolev spaces”, Lecture 3 Charles Fefferman, Princeton University, Arie Israel, University of Texas at Austin, Kevin Luli, University of California Davis
15:00 to 15:30	Coffee Break
15:30 to 16:10	Mini-course: “Whitney’s extension problem in Sobolev spaces”, Lecture 4 Kevin Luli, University of California Davis, Charles Fefferman, Princeton University, Arie Israel, University of Texas at Austin
16:20 to 17:00	Mini-course: “Whitney’s extension problem in Sobolev spaces”, Lecture 5 Charles Fefferman, Princeton University, Arie Israel, University of Texas at Austin, Kevin Luli, University of California Davis

Tuesday, August 28th, 2012
09:00 to 09:45	A general theorem of existence of quasi absolutely minimal Lipschitz extensions Matthew Hirn, Michigan State University and Yale University
09:45 to 10:15	Coffee Break
10:15 to 11:00	Quantization of Whitney problems Nahum Zobin, College of William and Mary
11:15 to 12:00	Sobolev Spaces and the Whitney Extension Theorem Piotr Hajlasz, University of Pittsburgh
12:00 to 13:30	Lunch Break
13:30 to 14:10	Extension of Sobolev Functions to Capacitory Boundaries Vladimir Gol’dshtein, Ben-Gurion University of the Negev
14:20 to 15:00	Properties of sheaves in the Kohn algorithm Andreea Nicoara, University of Pennsylvania
15:00 to 15:30	Coffee Break
16:30 to 18:00	Reception

Wednesday, August 29th, 2012
09:00 to 09:45	Covering of a dyadic sieve and nonlinear approximation of BV functions Yuri Brudnyi, Technion - Israel Institute of Technology
09:45 to 10:15	Coffee Break
10:15 to 10:45	Spaces of Besov type defined on fractals Alf Jonsson (Umeå University)
11:00 to 11:50	Sobolev L2 p-functions on closed subsets of R2,1 Pavel Shvartsman, Technion and Technion - Israel Institute of Technology
11:50 to 13:30	Lunch Break
13:30 to 14:20	Sobolev L2 p-functions on closed subsets of R2,1 Pavel Shvartsman, Technion and Technion - Israel Institute of Technology
14:30 to 15:00	Smoothness spaces on Ahlfors regular sets Lizaveta Ihnatyeva, University of Helsinki
15:00 to 15:30	Coffee Break

Thursday, August 30th, 2012
09:00 to 09:45	Reconstruction of Piecewise Ck - Functions From Point-wise and Fourier Samples Yosef Yomdin, Weizmann Institute of Science
09:45 to 10:15	Coffee Break
10:15 to 10:45	Gradual Variations and Partial Differential Equations Chen Li, University of the District of Columbia
11:00 to 11:45	On the approximation properties of spaces predual to H1-spaces Alexander Brudnyi, University of Calgary
11:45 to 13:30	Lunch Break
13:30 to 14:10	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
14:20 to 15:00	On the dependence of isomorphic type of spaces of smooth functions on the domain Michal Wojciechowski, Polish Academy of Sciences
15:00 to 15:30	Coffee Break

Friday, August 31st, 2012
08:45 to 09:25	Some conjectures Erwan Le Gruyer, Université de Rennes 1
09:25 to 10:05	Sobolev Spaces and Newton-Lagrange interpolation Bogdan Bojarski (Polish Academy of Sciences)
10:05 to 10:30	Coffee Break
10:30 to 11:15	Approximation of o-minimal maps satisfying a Lipschitz condition Krzysztof Kurdyka (Université de Savoie)
11:30 to 12:30	Definable Version of Whitney’s Extension Theorem Athipat Thamrongthanyalak, The Ohio State University and University of California, Los Angeles
12:30 to 14:00	Lunch Break
14:00 to 15:00	Sobolev L_2 spaces on closed subsets of R^2, 3 Pavel Shvartsman, Technion and Technion - Israel Institute of Technology

Organizing Committee

Alexander Brudnyi - University of Calgary

Charles Fefferman - Princeton University

Pierre Milman - University of Toronto

Scheduled as part of

Focus Program on Whitney Problems

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