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DTSTART:20070311T020000
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DTSTAMP:20190916T181603
DTSTART;TZID=America/Detroit:20190916T160000
DTEND;TZID=America/Detroit:20190916T170000
SUMMARY:Workshop / Seminar:Complex Analysis\, Dynamics and Geometry Seminar
DESCRIPTION:In this talk\, I will discuss holomorphic self-maps in n complex dimensions that fix the origin and are tangent to the identity (i.e.\, f(0)=0 and df(0)=Id). I will give background in this area and discuss some of my new results. In particular\, I will introduce a map in 2 complex dimensions that has 3 characteristic directions at the origin\, but that does not have a domain of attraction along any of those directions. Instead\, it exhibits other interesting dynamical behavior that I will discuss and supplement with pictures. I will then discuss joint work with F. Rong analyzing a family of maps tangent to the identity in 3 complex dimensions that have a characteristic direction whose directors have trivial real part and show that a domain of attraction does exist along that direction. Time permitting\, I will show how small changes to both of these types of maps can affect the existence of a domain of attraction. Speaker(s): Sara Lapan (UC Riverside)
UID:62509-15375202@events.umich.edu
URL:https://events.umich.edu/event/62509
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3866
CONTACT:
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