Thematic Seminar: Diffeomorphisms of disks

Seminar | January 21 | 4:10-5 p.m. | 740 Evans Hall

 Alexander Kupers, Harvard

 Department of Mathematics

Disks are among the simplest manifolds but their groups of diffeomorphisms can be very complicated. I will describe the geometric techniques that were used to understand these groups in low dimensions, their relationship to stable homotopy theory and number theory in high dimensions, and recent breakthroughs in understanding their rational homotopy type. This talk will be aimed at a broad audience.