Abstract: 

Given a fractal set E on the plane and a set F of directions, can we find one direction L in F such that the orthogonal projection of E along L is large? We will survey some classical and modern projection theorems and discuss their applications. This talk is based on joint work with Pablo Shmerkin.

Speaker：

Hong Wang, Assistant professor, UCLA.

Awards and Grants: 

Maryam Mirzakhani New Frontiers Prize, 2022. 

NSF Grant DMS-2055544, 2021-2024. 

AMS-Simons travel funding, 2020-2022. 

Presidential fellows, MIT, 2014-2015.