Dynamical systems and systems of equations

Equidistribution without stability

speaker: Jeffrey Diller (Notre Dame University)

abstract: To understand the dynamics of a rational self-map of the complex projective plane, it has been convenient to suppose that the map is `algebraically stable.' Unfortunately, several telling examples show that algebraic stability cannot be taken for granted. In this talk I will focus on some recent examples of Bell, Jonsson and myself to show that algebraic stability isn't always needed to prove e.g. equidistribution results for preimages of curves by a plane rational map.

timetable:
Mon 20 Jun, 14:00 - 15:00, Aula Dini
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