Symplectic Geometry Seminar

Quantitative Almost-Existence in Dimension Four

In 1987, Hofer and Zehnder showed that for any smooth function $H$ on $\mathbb{R}^{2n}$, almost every compact and regular level set contains at least one closed characteristic. I'll show that, when $n = 2$, almost every compact and regular level set contains at least two closed characteristics.

Date & Time

October 22, 2024 | 1:00pm – 2:00pm

Location

Rubenstein Commons | Meeting Room 5

Speakers

Rohil Prasad, University of California, Berkeley

Categories