In 1985 Misha Gromov proved his Nonsqueezing Theorem, and hence constructed the first symplectic 1-capacity. In 1989 Helmut Hofer asked whether symplectic d-capacities exist if 1 < d < n. I will discuss the answer to this question and its relevance in symplectic geometry.
This is joint work with San Vu Ngoc.
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
