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School news and events

School news

The School maintains a news feed [1] to report grant successes, visitors to the School, graduations, outreach activity, prizewinners etc.

School events

The School online calendar is updated regularly. You can subscribe [5] to it if you use software such as Google Calendar or iCal.

Peter Hochs [9]
Convenor of School Colloquium
Hang Wang [11]
Convenor of Differential Geometry Seminars
Ed Green [13]
Convenor of Fluid Mechanics Seminars
Joshua Ross [15]
Convenor of Operations Research Seminars
Danny Stevenson [17]
Convenor of Undergraduate Seminars

Forthcoming events calendar

June [19] 2018 [20]
    1 [21]23
1112131415 [22]1617
2526272829 [23]30 
July [24] 2018 [25]
2324252627 [26]2829
August [27] 2018 [28]
  123 [29]45
678910 [30]1112
1314151617 [31]1819
2728293031 [32]  
September [33] 2018 [34]

Next events

The topology and geometry of spaces of Yang-Mills-Higgs flow lines
11:10 Fri 27 Jul, 2018 :: Barr Smith South Polygon Lecture theatre :: Graeme Wilkin :: National University of Singapore

Given a smooth complex vector bundle over a compact Riemann surface, one can define the space of Higgs bundles and an energy functional on this space: the Yang-Mills-Higgs functional. The gradient flow of this functional resembles a nonlinear heat equation, and the limit of the flow detects information about the algebraic structure of the initial Higgs bundle (e.g. whether or not it is semistable). In this talk I will explain my work to classify ancient solutions of the Yang-Mills-Higgs flow in terms of their algebraic structure, which leads to an algebro-geometric classification of Yang-Mills-Higgs flow lines. Critical points connected by flow lines can then be interpreted in terms of the Hecke correspondence, which appears in Witten’s recent work on Geometric Langlands. This classification also gives a geometric description of spaces of unbroken flow lines in terms of secant varieties of the underlying Riemann surface, and in the remaining time I will describe work in progress to relate the (analytic) Morse compactification of these spaces by broken flow lines to an algebro-geometric compactification by iterated blowups of secant varieties.
11:10 Fri 3 Aug, 2018 :: Barr Smith South Polygon Lecture theatre :: Brett Chenoweth :: University of Ljubljana