10.04.2025 11:00 Richard J. Gardner (Western Washington University):
The Hyperplane and Mahler ConjecturesMI 02.08.011 (Boltzmannstr. 3, 85748 Garching)
The talk focuses on two the 66 problems stated in my book Geometric Tomography that are arguably the most notorious in convex geometry: Bourgain’s hyperplane conjecture from 1986 (finally confirmed last year) and Mahler’s conjecture from 1939 (still open). Both have great significance, not only for convex geometry, but for mathematics as a whole. A fairly comprehensive survey of these two important questions will be attempted, including their relationship to each other and to many other open conjectures from diverse areas of mathematics.