中央大学　幾何・トポロジーセミナー

Julie Rowlett (University of Gothenburg, Sweden)

Title:  The mathematics of"hearing the shape of a drum"

Abstract : Have you heard the question, "Can one hear the shape of a drum?"
  Do you know the answer?
In 1966, M. Kac's article of the same title popularized the inverse
isospectral problem for planar domains.
Twenty six years later, Gordon, Webb, and Wolpert demonstrated the answer,
but many naturally related problems remain open today.
We will discuss results inspired by "hearing the shape of a drum'' which
involve geometry, mathematical physics, (microlocal) analysis, and
number theory.
Along the way, we will visit several currently open problems.