The AMSI/ AustMS 2014 Workshop in Harmonic Analysis and its Applications

 In Workshop reports

Macquarie University, 21–25 July 2014

The topics covered at this event included:

  • Partial differential equations— Elliptic and parabolic systems, homogenisation of elliptic equations, heat kernel estimates, eigenfunctions expansion, Strichartz estimates on manifolds
  • Harmonic Analysis—Estimates on singular integrals, holomorphic functional calculi, Carleson measures, harmonic analysis on product spaces
  • Applied harmonic analysis—Image visualisation, prolate shifts & sampling

Presenting recent results at the frontier of each research topic, the talks were well attended and the workshop a great success. Michael Lacey’s lecture on the Two Weight Inequality for the Cauchy Transform and its verification of a conjecture of Nazarov-Treil-Volberg was an event highlight.

The workshop attracted top-flight harmonic analysis researchers from the US, Europe, and Asia, with the format designed to facilitate networking between Australian and international researchers. This was particularly valuable for PhD students and ECRs.

Inspired by the discussions, a number of international speakers extended their time in Australia beyond the workshop in order to collaborate with Australian researchers.

Building on Australia’s historical strength in this area, the event was effective in raising the overseas profile of Australian research. The event also proved an effective platform for the dissemination of recent results and encouraging discussion about future development, joint projects and collaborative opportunities.

MathSciNet Classification
42B37, 42B20, 35J45

Program structure
The event featured an outstanding program of 24 morning and afternoon lecture sessions based around keynote presentations from special guest presenters. There was also plenty of social time, with a gathering on the Wednesday afternoon with proceedings officially coming to a close on Friday afternoon.

Other Sponsors
AustMS, University of South Australia CIAM, Macquarie University

Contact
Associate Professor Lesley Ward, University of South Australia,
Lesley.Ward@unisa.edu.au

Organisers

Professor Xuan Duong, Macquarie University
Dr Christopher Meaney, Macquarie University
Dr Lesley Ward, University of South Australia

Special presenters

Professor Leonardo Colzani, The Universita di Milano-Bicocca
Research interests: Fourier analysis in the settings of euclidean space and compact manifolds
Professor Michael Lacey, Georgia Institute of Technology
Research interests: harmonic analysis, longstanding A2 conjecture and the two-weight inequality for the Hilbert transform
Professor Carlos Perez, University of Seville, Spain
Research interests: singular integral operators and weighted inequalities
Professor Jill Pipher, Brown University
Research interests: harmonic analysis (including the multiparameter and dyadic theory) and elliptic partial differential equations

Participant Summary

Attendees

NUMBER OF ATTENDEES

XX

  • Academic

    64%

  • Postdocs

    0%

  • Post Graduates

    28%

  • Students

    8%

  • Industry

    0%

Gender

Gender Breakdown

State Breakdown
Victoria
50%
Australian Capital Territory
50%
New South Wales
50%
Queensland
0%
South Australia
0%
Western Australia
0%
Tasmania
0%
Northern Territory
0%
International
0%
Citizenship Status
Domestic - 60%
50%
International - 40%
50%
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