Eriko Hironaka, Florida State University
Event Date
2025-04-11
Event Time
04:00 pm ~ 05:00 pm
Event Location
Park Science Building, Bryn Mawr College
PATCH Seminar (joint with Bryn Mawr, Haverford, Penn, and Swarthmore)
In the morning background talk (11:30am in Park 337), I will give some background on the moduli and deformation spaces of quadratic rational maps with fixed portraits and their compactifications. This talk will include definitions and techniques from the theory of rational maps, algebraic geometry, and low-dimensional topology that will be relevant to the second talk.
In the afternoon research talk (4:00pm in Park 300), I will discuss a question of J. Milnor on the moduli spaces of quadratic rational and its extension by A. Epstein. Using some of the techniques introduced in part #1, we will show that Epstein's deformation space is disconnected and give further properties. Part of this work described is joint with S. Koch.