Puncture-Forgetting Maps for Measured Foliations and Applications to the Dynamics of Postcritically Finite Rational Maps

Explore puncture-forgetting maps for measured foliations and their applications to the dynamics of postcritically finite rational maps in this 50-minute conference talk. Learn from Insung Park of Stony Brook University as he presents advanced mathematical concepts connecting geometric structures with dynamical systems theory. Discover how puncture-forgetting techniques can be applied to understand the behavior of rational maps with finite postcritical sets, bridging topics in complex dynamics, geometric topology, and foliation theory. Gain insights into cutting-edge research methods that illuminate the relationship between measured foliations and the dynamical properties of complex rational functions.