**Title: **Interpolation sets for nilsequences

**Speaker:** Anh N. Le – Ohio State University

**Abstract: **Interpolation sets are classical objects in harmonic analysis which have a natural generalization to ergodic theory regarding nilsequences. A set $E$ of natural numbers is an interpolation set for nilsequences if every bounded function on E can be extended to a nilsequence on $\mathbb{N}$. By a result of Strzelecki, lacunary sets are interpolation sets for nilsequences. In this talk, I show that no sub-lacunary sets are interpolation sets for nilsequences and the class of interpolation sets for nilsequences is closed under union with finite sets.

**Zoom link:** https://osu.zoom.us/j/93885989739?pwd=bUNWdjgzMS93NHRUcmVZRkljTDBHZz09

**Meeting ID:** 938 8598 9739

**Password:** Mixing

**Recorded Talk: **https://osu.zoom.us/rec/share/nIo2Tnfv7PMRIP3U_EG7FWw7N1YhFRL4BeJa_gqE0voCXN3enu_jnHuH-tW1H5q2.84ac0THimUVpKQfW