5-22【Dylan Cant】 Lengths of Reeb chords and Viterbo restriction

Time:2026-05-07Views:10

Speaker: Dylan Cant (Université de Montréal)

Time: 10:00-11:00, May 22, 2026

Venue: room 1124, Material Science Research Building (Section C)


  

We develop a version of Viterbo restriction map $SH(W)\to SH(T^{*}\Lambda)$ whenever $\Lambda$ is embedded as a Legendrian in the ideal boundary of $W$ without any Reeb chords for some contact form, generalizing earlier work in this direction by Zhengyi Zhou. Using this, we prove that, if $W=T^{*}M$ and the universal cover of $M$ is a product of spheres (e.g., the $n$-torus), then all compact Legendrians $\Lambda\subset ST^{*}M$ admit a Reeb chord for every choice of contact form $ST^{*}M$. This is based on joint work with Filip Broćić.