January - May 2014

The goal of the Semester is to expose graduate students, visitors and faculty to some important techniques and results in modern Mathematical Analysis, with an orientation towards Geometric Analysis and Convex Integration. The theory of Convex Integration originates in the work of Nash and Kuiper in 1950' where they showed that any given Riemannian manifold can be isometrically embedded in a Riemannian manifold of one higher dimension with a C^1-regular embedding. Later on, Gromov succeeded in resolving the same question in a more general framework of partial differential relations. Recently, new connections have been made between Convex Integration and Calculus of Variation, Fluid Mechanics, Microstructures and Nonlinear Elasticity.

The semester will consist of concentrated activities, including week-long five minicourses at graduate level, delivered by: V. Borelli, C. De Lellis, P. Lindqvist, A. Malchiodi and L. Szekelyhidi Jr. The Semester will also include a workshop "Advances in Nonlinear Analysis" in March 13-15, 2014.

Jan 20 - Jan 24, 2014 Professor Vincent Borrelli Universite Lyon I, France From convex integration to flat tori
Lecture 1: Tue 10am, 704 Thackeray Hall Lecture 2: Wed 10am, 704 Thackeray Hall Lecture 3: Th 10am, 704 Thackeray Hall Lecture 4: Fri 10am, 704 Thackeray Hall |
Feb 3 - Feb 7, 2014 Professor Peter Lindqvist Norwegian University of Science and Technology The infinity-Laplace equation
Lecture 1: Mon 10am, 704 Thackeray Hall Lecture 2: Tue 10am, 704 Thackeray Hall Lecture 3: Wed 10am, 704 Thackeray Hall Lecture 4: Th 10am, 704 Thackeray Hall |
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March 3 - March 7, 2014 Professor Camillo De Lellis University of Zurich, Switzerland From Nash to Onsager, I
Lecture 1: Mon 10am, 704 Thackeray Hall Lecture 2: Tue 10am, 704 Thackeray Hall Lecture 3: Wed 10am, 704 Thackeray Hall Lecture 4: Th 10am, 704 Thackeray Hall Lecture 5: Fri 10am, 704 Thackeray Hall |
March 24 - March 28, 2014 Professor Laszlo Szekelyhidi Jr. University of Leipzig, Germany From Nash to Onsager, II
Lecture 1: Mon 10am, 704 Thackeray Hall Lecture 2: Tue 10am, 704 Thackeray Hall Lecture 3: Wed 10am, 704 Thackeray Hall Lecture 4: Th 10am, 704 Thackeray Hall |
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Apr 7 - Apr 11, 2014 Professor Andrea Malchiodi University of Warwick, United Kingdom Variational features of Liouville equations
Lecture 1: Mon 10am, 704 Thackeray Hall Lecture 2: Tue 10am, 704 Thackeray Hall Lecture 3: Wed 10am, 704 Thackeray Hall Lecture 4: Th 10am, 704 Thackeray Hall Lecture 5: Fri 10am, 704 Thackeray Hall |

Funding for the Semester has been provided
by the
Mathematics Research Center at the University of
Pittsburgh .
The poster can be downloaded by clicking on the image in the right hand side. The organizing committee consists of: Piotr Hajlasz , Marta Lewicka , Juan Manfredi and Reza Pakzad . |
Poster: |
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