## UBC Harmonic Analysis and Fractal Geometry: Benjamin Bruce

• Date: 10/25/2022
• Time: 10:00
Lecturer(s):
Benjamin Bruce, UBC
Location:

University of British Columbia

Topic:

Two-point patterns determined by curves

Description:

Given a smooth function Φ:ℝ→ℝd, we ask whether every Borel subset of ℝd with sufficiently high Hausdorff dimension contains a pair of the form {x,x+Φ(t)} with Φ(t)≠0. We prove that a large class of curved” functions have this property while certain `flat” functions do not. This is joint work with Malabika Pramanik.

Other Information:

Location: Hybrid

In-person: ESB 4133 (PIMS Lounge)

More details listed here.