SMY:n etäkollokvio 19.11.2025 | Suomen matemaattinen yhdistys

Kakeya sets in R^3

Time: Wednesday, November 19th at 16:15.

Place: Over Zoom and in colloquium watch events at mathematics departments (see bottom of page)

Speaker: Hong Wang, NYU Courant Institute

Chaired by: Tuomas Orponen, University of Jyväskylä

Abstract: A Kakeya set is a compact subset of R^n that contains a unit line segment pointing in every direction. Kakeya set conjecture asserts that every Kakeya set has Minkowski and Hausdorff dimension n. We prove this conjecture in R^3 as a consequence of a more general statement about union of tubes. We will also discuss the connection to projection theorems in geometric measure theory.

This is joint work with Josh Zahl.

Hong Wang is a permanent professor at the Institut des Hautes Études Scientifiques (IHES) and a professor at NYU’s Courant Institute. She specializes in harmonic analysis and related areas and is widely known for her influential work on the restriction conjecture, local smoothing, and decoupling, among other topics. In recent work with Joshua Zahl, she resolved the celebrated Kakeya conjecture in three dimensions.

Where to watch?

The colloqium will be broadcasted on Zoom on Wednesday, November 19th at 16:15.

There are watch events organized at Finnish universities' mathematics departments:

Aalto university: Hall U7 (Otakaari 1)
LUT University: 2411
University of Helsinki: Exactum CK112
University of Jyväskylä: MaD302
University of Oulu: MA342 Linnanmaa campus
University of Tampere: TAU Tietotalo TC210
University of Vaasa: F487
University of Turku: Quantum M2