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Dear all, The next Dynamical Systems seminar will be on Wednesday 6 March at 1.30pm. The speaker will join us in person in AT306. Speaker: Matthieu Astorg, Université d'Orléans<http://www.univ-orleans.fr/fr> Title: Local dynamics of skew-products tangent to the identity (joint work with Luka Boc Thaler) Abstract: The results we will present in this talk deal with local dynamics of skew-products P with a (non-degenerate) tangent to the identity fixed point at the origin. We will give an explicit sufficient condition on its coefficients for P to have wandering Fatou components. In particular, we will see that the dynamics of quadratic maps of the form (z,w)-> (z-z^2,w+w^2+bz^2) is surprisingly rich: under an explicit arithmetic condition on b, these maps have an infinity of grand orbits of wandering Fatou components, all of which admit non-constant limit maps. The main technical result is a parabolic implosion-type theorem, in which the renormalization limits that appear are different from previously known cases. Everyone is welcome! Best wishes, Vasso ________________________________________________________________________________ Microsoft Teams meeting Join on your computer, mobile app or room device Click here to join the meeting<https://teams.microsoft.com/l/meetup-join/19%3ameeting_ZWJlZWQ5MjctMWI3OC00NjdmLThkNzQtZWM0NTA0N2M3NDM5%40thread.v2/0?context=%7b%22Tid%22%3a%220e2ed455-96af-4100-bed3-a8e5fd981685%22%2c%22Oid%22%3a%22d3c6235b-c0f6-4da5-a5cd-c10308e7daea%22%7d> Meeting ID: 359 120 465 510 Passcode: 2vh6gj Download Teams<https://www.microsoft.com/en-us/microsoft-teams/download-app> | Join on the web<https://www.microsoft.com/microsoft-teams/join-a-meeting> [https://ou365brand.blob.core.windows.net/public/OU_Master_LOGO_BLUE_14mm.png] For The Open University's privacy policy, use the Legal link below Learn more<https://aka.ms/JoinTeamsMeeting> | Meeting options<https://teams.microsoft.com/meetingOptions/?organizerId=d3c6235b-c0f6-4da5-a5cd-c10308e7daea&tenantId=0e2ed455-96af-4100-bed3-a8e5fd981685&[log in to unmask]&messageId=0&language=en-GB> | Legal<https://www.open.ac.uk/privacy> ________________________________________________________________________________ -- The Open University is incorporated by Royal Charter (RC 000391), an exempt charity in England & Wales and a charity registered in Scotland (SC 038302). The Open University is authorised and regulated by the Financial Conduct Authority in relation to its secondary activity of credit broking. ######################################################################## To unsubscribe from the OU-MATHS-EVENTS list, click the following link: https://www.jiscmail.ac.uk/cgi-bin/WA-JISC.exe?SUBED1=OU-MATHS-EVENTS&A=1 This message was issued to members of www.jiscmail.ac.uk/OU-MATHS-EVENTS, a mailing list hosted by www.jiscmail.ac.uk, terms & conditions are available at https://www.jiscmail.ac.uk/policyandsecurity/