14/03/2024, 16:00 — 16:15 — Room P3.10, Mathematics Building Online
Pedro Boavida, Instituto Superior Técnico
Kontsevich integrals and points
In the late 1950s, Smale proved that the inclusion of the group of isometries of the $S^2$ sphere in the group of diffeomorphisms is a homotopy equivalence, and asked whether this would be true for higher-dimensional spheres. In the 1980s, Hatcher confirmed Smale's suspicion for the 3-sphere, but the 4-dimensional case remained open until recently.
See also
16H00_PB_h.pdf