This is the 1st joint workshop of Seoul National University and Renyi Institute, in selected topic of complex algebraic geometry and low-dimensional topology.
The workshop focuses around the questions of spectral rigidity motivated by the famous question:
Can you hear the shape of a drum? Recent progress on dynamical spectral rigidity will be discussed.
The topic of the focused workshop is related to the results and methods of Pablo Shmerkin's 2019 Anals of Maths paper: "On Furstenberg's intersection conjecture, self-similar measures, and the L q norms of convolution"s.
The focused workshop will discuss some recent applications of harmonic analysis methods in fractal geometry. Significant results have recently been achieved in this field, and we would like to better understand some of them through lectures from experts in this field.
The workshop focuses on the recent developments of geometric measure theory, dimension theory of dynamical systems, the geometry of random and deterministic fractals, and related topics.
The aim of the school is to study various aspects of fractal geometry, motivated by iterated function systems, dynamical systems and probability theory.