# Peter Sarnak (Institute for Advanced Study & Princeton)

Date

Wednesday November 24, 20213:30 pm - 4:30 pm

Location

Online (via Zoom)Event Category

## 2021 Lorne Campbell Lecture Series

**Thursday, November 24th, 2021**

**Time:** 3:30 p.m. **Place:** Online via Zoom (contact Abdol-Reza Mansouri for Zoom link)

**Speaker:** Peter Sarnak (Institute for Advanced Study & Princeton)

**Title:** Applications of Points on Subvarieties of Tori

**Abstract:** A basic conjecture of Lang asserts that the intersection of a finitely generated subgroup of a torus with an algebraic subvariety has a simple description. We review the statement and some of the tools in its proof. It has many applications and we highlight some recent ones in Euclidean geometry, group theory, the spectral theory of metric graphs and quasicrystals.

**Lecture Video Recording:** Click here to see the recording of the 2021 Lorne Campbell Lectureship