Differential Geometry, Complex Analysis and Lie Theory

 In Workshop reports

La Trobe University, 5–7 December 2014

This event was the second in a series of workshops developed to overcome multi-site communication challenges and the need to promote key work and ideas across a broad geographical area within Australia and overseas. The organising committee developed a threeyear program of workshops to be hosted by Australian universities.

A satellite of the Australian/New Zealand Mathematical Society Convention, this year’s workshop ran for three days in Melbourne.

Highlights included a series of two-hour lectures by the invited speakers, including Professors Carolyn Gordon, Kang-Tae Kim, Dimitry Millionschikov and Tracy Payne.

Carolyn Gordon gave a survey panoramic talk on Spectral Geometry (in which she is commonly recognised as one of the world’s most influential figures). Kang-Tae Kim gave two interrelated lectures on CR geometry. Dimitry Millionschikov presented new results on the geometry of nilmanifolds and Lie cohomology. Tracy Payne gave a brilliant talk on computational methods in the theory of nilpotent Lie algebras.

Australian research was well represented with excellent presentations from Hyam Rubinstein, Thomas Leistner, Wolfgang Globke and Owen Dearricott, with topics ranging from geometry and topology of minimal surfaces to homogeneous Riemannian and pseudoRiemannian geometry.

The four half-hour talks given by representatives of host universities and two half‑hour talks by New Zealand participants were also well received.

AMSI Director, Professor Geoff Prince greeted participants and reiterated the willingness of AMSI to further support national and international collaboration in mathematics.

The main scientific outcomes of this workshop were:

  • new directions for future national and international collaboration. An example: plans for two new projects were developed based on discussions with Carolyn Gordon and Tracy Payne
  • stronger international standing and reputation of Australian pure mathematics research, in particular in geometry
  • international exposure of student and established researcher results
  • robust discussion with participants sharing ideas
  • undergraduate students benefited from exposure world-class mathematical research and educational opportunities

MathSciNet Classification
53C30, 32M10, 22E25, 32F15, 17B56

Program structure

Web Links
http://gygeom.com/2014/

Other Sponsors
AustMS, La Trobe University, ARC Project DP 130103485

Contact
Dr Yuri Nikolaevsky, La Trobe University
Y.Nikolayevsky@latrobe.edu.au

Organisers

Dr Yuri Nikolaevsky, La Trobe University
Associate Professor Grant Cairns, La Trobe University
Associate Professor Gerd Schmalz, University of New England
Associate Professor Vladimir Ejov, Flinders University

Special presenters

Professor Carolyn Gordon, Dartmouth College
Research interests: isospectral geometry, isospectral closed Riemannian manifolds
Professor Kang-Tae Kim, POSTECH Mathematics
Research interests: complex analysis of several variables, complex differential geometry and related areas, almost complex structures in relation to symplectic geometry and functional analysis
Professor Dimitry Millionschikov, Moscow State University
Research interest: algebraic topology and its applications, differential geometry and lie theory.
Professor Tracy Payne, Idaho State University
Research interests: geometry and dynamics in the setting of lie groups (especially nilpotent ones) and homogeneous spaces

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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