The AROMATH seminar will usually happen on Tuesday at 10h30-11h30 every two weeks, except for a few deviations.
The presentations will typically take place at Inria Sophia Antipolis, Byron Blanc 106, and also online.
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use meeting ID: 828 5859 7791, passcode: 123
Bernd Beckermann - Bergman orthogonal polynomials and the Grunsky matrix
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20 December 2018
By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by Kühnau in 1985, we improve on some recent results on strong asymptotics of Bergman polynomials outside the domain G of orthogonality, and on the entries of the Bergman shift operator. In our proofs we suggest a new matrix approach involving the Grunsky matrix, and use well-established results in the literature relating properties of the Grunsky matrix to the regularity of the boundary of G and the associated conformal maps. For quasiconformal boundaries this approach allows for new insights for Bergman polynomials.
Joint work with Nikos Stylianopoulos (Nicosie). For more details see https://arxiv.org/pdf/1606.00553.pdf
Bernhard Beckermann, Professor, Université de Lille.