A full day program centered around Bob's mathematical career and its influences in geometry.
Blaine Lawson, Stony Brook
Reflections on the early mathematical life of Bob Osserman
This talk will be a general exposition of some of Bob Osserman's seminal contributions to the theory of minimal surfaces. The presentation will be aimed at a wide mathematical audience, and early parts of the talk should be accessible to non-mathematicians as well.
Presentation notes: lawson.pdf
Brian White, Stanford
Branch points and total curvature
I will describe Osserman’s work on branch points and on finite total curvature, and some related subsequent developments.
Presentation notes: white.pdf
Peter Sarnak, Princeton
Curvature and its impact on spectral geometry and geodesics after Osserman
We review some of Bob's papers, insights and more recent developments connected with the topics of the title.
Presentation notes: sarnak.pdf
Antonio Ros, Granada
Remarks on minimal surfaces
The purpose of this talk is to review some results in classical minimal surface theory and to present a few mathematical problems on soap films, properly embedded minimal surfaces with finite topology and minimizing properties of periodic surfaces. These facts depend on relations between classic surface geometry, riemann surface theory, and geometric analysis.
Presentation notes: ros.pdf
Persi Diaconis, Stanford
Bob Osserman and the volume of tubes
As part of his work understanding higher curvatures, Bob encountered a little-known paper by the statistician Harold Hotelling on the volume of tubes. He asked me what statistics problems this relates to. His questions have led to an active development of a variety of extensions of weyl’s formulæ.
Presentation notes: diaconis.pdf