János Kollár, Ph.D.Donner Professor of Science and Professor of Mathematics, Princeton University
Simons Foundation Lectures are free public colloquia related to basic science and mathematics. These high-level talks are intended for professors, students, postdocs and business professionals, but interested people from the metropolitan area are welcome as well.
In 1880, French mathematician Jean Gaston Darboux started a project enumerating the various surfaces that can be made using grids of lines, circles or cross-sections of cones. Many examples of these surfaces appear in art and architecture. Mathematicians today have a complete list of the possible surfaces.
In this lecture, János Kollár will discuss how those ideas can be extended to higher dimensions, leading to fruitful questions about algebraic varieties with connections to number theory and symplectic geometry.