Geometry, Topology and Physics Workshop
May 14-15, 2014
Workshop on Computational Geomechanics
May 22-23, 2014
The focus of the workshop is on exposing young researches to recent developements in computational geomechanics. The workshop will include relevant numerical methods, analysis of these methods, and applications to different problems. Relevant applications include, but are not limited to, hydraulic fracturing, groundwater flow, reservoir engineering, and poroelastic filters. Topics to be covered include mathematical, numerical and physical aspects of numerical techniques based on multiphase flow, multiscale simulations, fixed mesh methods and adaptive mesh refinement methods, partitioned algorithms, and material interface modeling.
2014 Theme Semester on Convex Integration and Analysis
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.
Nonlinear Dynamics and Stochastic Methods: from Neuroscience to Other Biological Applications
March 10-12, 2013
In conjunction with the conference, we plan to honor Professor Bard Ermentrout who has been at the forefront of the conference's topics throughout his career.
This three-day conference will bring together a mix of senior and junior scientists to report on theoretical methods that proved successful in mathematical neuroscience, and to encourage their dissemination and application to modeling in computational medicine and other biological fields. The invited speakers will present on mathematical topics such as dynamical systems, multi-scale modeling, phase resetting curves, pattern formation and statistical methods.
International Workshop "Advances in Nonlinear Analysis"
March 13 - 15, 2014
The workshop will be held in the framework of 2014 Theme Semester on Convex Integration and Analysis at the University of Pittsburgh. It aims to bring together leading researchers in Nonlinear Analysis and to and to disseminate the most recent developments and techniques at the crossing of Partial Differential Equations, Geometric Analysis, Geometric Measure Theory, Harmonic Analysis and Potential Theory, and Nonlinear Analysis.