An Invitation to Quasiconformal Geometry and Nonlinear Elasticity, spring 2010

Lecturer

Tadeusz Iwaniec

Scope

10 cu.

Type

Advanced studies

Prerequisites

Basic knowledge of measure and integration and real analysis.
Foundations of functional analysis and Sobolev spaces.

Lectures

Wednesday 14-16, D123
First lecture wednesday 20.1.

No lectures on February 3 - February 17.
Next lecture: February 24.

Content

Some of the topics included will be:

• Analytical foundations of quasiregular mappings and differential forms
• Direct method of calculus of variations
• Sobolev mappings, geometry and topology
• Jacobian determinants and null Lagrangians
• Extremal mappings of energy integrals
• Free Lagrangians

Bibliography

Notes of the lectures will be provided.

Registration at the first lecture.