Speaker: Sara Lapan
Title: Existence of a domain of attraction along a characteristic direction of higher degree.
Abstract: In this talk, we will consider holomorphic self-maps of C^2 that fix the origin and are tangent to the identity (e.g., f(0) = 0 and df(0) = Id). We are interested in how points near the origin move under iteration. Do they converge to the origin and, if so, do they converge along a direction? When this happens, such a direction must be a characteristic direction. We will discuss what is known in C^2 , focusing on degenerate characteristic directions and the role that higher degree terms can play in the existence of a domain of attraction along those directions.
Thursday, November 1, 2018 at 3:40pm to 5:00pm
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