Minimal surfaces - analysis meets topology!
by Professor Hyam Rubinstein
Abstract: Abstract: The theory of minimal surfaces ( soap films) has been a source of problems and models for many investigations in mathematics, physics, chemistry and biology. Surface tension of soap films produces shapes which minimize area, when a wire frame is dipped in a soap solution. Understanding mathematically such surfaces has lead to important developments in the calculus of variations, including `generalized surfaces' coming from geometric measure theory. Also many of the leading analysts of the 19th century were drawn to studying minimal surfaces, through the connection with complex variable theory, especially Weierstrass.
I will very briefly survey some of these topics and talk about recent applications of minimal surfaces in the study of 3-dimensional manifolds.
For More Information: Paul Norbury, (ph: 8344 9711, email: email@example.com)