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DynamIC Seminars (Complete List)

Name Title Date Time Room
Laurent Stolovitch (Université de Nice-Sophia Antipolis)Holomorphic normal form of nonlinear perturbations of nilpotent vector fieldsAbstract: We consider germs of holomorphic vector fields at a fixed point having a nilpotent linear part at that point, in dimension $n\geq 3$. Based on Belitskii's work, we know that such a vector field is formally conjugate to a (formal) normal form. We give a condition on that normal form which ensure that the normalizing transformation is holomorphic at the fixed point. We shall show that this sufficient condition is a {\it nilpotent version} of Bruno's condition (A). In dimension 2, no condition is required since, according to Str{\'o}{\.z}yna-{\.Z}o{\l}adek, each such germ is holomorphically conjugate to a Takens normal form. Our proof is based on Newton's method and $\frak{sl}_2(\Bbb C)$-representations. Thursday, 13 October 2016 16:00 Huxley 130
Nikolaos Karaliolios (Imperial College London)The KAM regime for Quasi-Periodic cocycles in T^dxSU(2)Abstract: After having introduced some definitions, we will present a classification holding true in an open set of the total space of such dynamical systems. The phenomena that occur comprise the foliation of the phase space in smooth KAM tori, in tori of lower regularity down to simply measurable ones, and (for systems where the tori break down completely) Weak Mixing in the fibres and Unique Ergodicity in the space of Distributions. This classification is based on works of H. Eliasson, R. Krikorian and the author, among others. Tuesday, 25 October 2016 14:00 Huxley 140
Toby Hall (University of Liverpool)TBAAbstract: TBA Tuesday, 8 November 2016 14:00 Huxley 140
Liviana Palmisano (University of Bristol)TBAAbstract: TBA Tuesday, 29 November 2016 14:00 Huxley 140
Mark Pollicott (University of Warwick)TBAAbstract: TBA Tuesday, 13 December 2016 14:00 Huxley 140

DynamIC Workshops and Mini-Courses (Complete List)

Title Date Venue
Parameter Problems in Analytic DynamicsMonday, 27 June 2016 – Friday, 1 July 2016Imperial College London

Short-term DynamIC Visitors (Complete List)

NameAffiliationArrivalDepartureHost
Mark Pollicott University of Warwick Tuesday, 13 December 2016 Tuesday, 13 December 2016

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