Analysis Seminar in Crete (2019-20)

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In chronological ordering

DATE TIME ROOM SPEAKER FROM TITLE COMMENT
Wednesday, October 9, 2019 10:00 A303Nikos FrantzikinakisUniversity of Crete Good weights for the Erdös discrepancy problem
Abstract: The Erdös discrepancy problem, now a theorem by T. Tao, asks whether every sequence with values plus or minus one has unbounded discrepancy along all homogeneous arithmetic progressions. We establish weighted variants of this problem, for weights given either by structured sequences that enjoy some irrationality features, or certain random sequences. As an intermediate result, we establish unboundedness of weighted sums for all bounded multiplicative functions and products of shifts of such functions. A key ingredient in our analysis for the structured weights, is a structural result for measure preserving systems naturally associated with bounded multiplicative functions that was recently obtained in joint work with B. Host.
Tuesday, October 22, 2019 12:00 A303Kostas PanterisUniversity of Crete Closed range composition operators on Besov spaces and on BMOA
Wednesday, October 30, 2019 10:00 A303Nikos PoursalidisUniversity of Crete Structural results for multiple translational tilings (Master's thesis presentation)
Wednesday, December 18, 2019 10:00 A303Maria NtekoumeUCLA Symplectic non-squeezing for the Korteweg--de Vries flow on the line
Abstract: The goal of this talk is to prove that the Korteweg--de Vries (KdV) flow on the line cannot squeeze a ball in $\dot H^{-\frac 1 2}$ into a cylinder of lesser radius. This is a PDE analogue of Gromov’s famous symplectic non-squeezing theorem for an infinite dimensional PDE in infinite volume.

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