Type: Seminar

Modified: Tue 18 Jul 2023 1503; Mon 24 Jul 2023 1634; Tue 22 Aug 2023 1516

Distribution: World

Expiry: 25 Aug 2023

CalTitle1: SMRI Seminar: Pedit ’Minimal Lagrangian surfaces of high genus in $CP^2$’

Auth: hannahb@w1d4n6z2.staff.sydney.edu.au (hbry8683) in SMS-SAML

SMRI Seminar: ’Minimal Lagrangian surfaces of high genus in $CP^2$’ Franz Pedit (University of Massachusetts, Amherst) Thursday 24th August, 1:00-2:00pm (AEST) Carslaw 375 & online via Zoom (register/join - https://uni-sydney.zoom.us/j/88338253103) Abstract: The study of properties of surfaces in space has historically been a fertile ground for advances in topology, analysis, geometry, Lie theory, and mathematical physics. The most important surface classes are those which arise form variational problems, for example, minimal surfaces which are critical points of the area functional. The Euler Lagrange equations are PDEs which serve as model cases for developments in geometric analysis. Often these equations exhibit large (sometimes infinite dimensional) symmetry groups which puts the theory into the realm of â€œintegrable systemsâ€, that is, PDEs which allow for an infinte hierarchy of conserved quantities. This theory has been studied extensively over the past 40 years and led to significant advances in the classification of (minimal, constant mean curvature, Willmore etc.) surfaces of genus one. The higher genus case has been more illusive and examples are usually constructed using non-linear perturbation theory and gluing techniques. In this talk I will explain how one can use ideas from integrable systems to construct examples of high genus minmal Lagrangian surfaces without recourse to hard analysis. This approach is more explicit than PDE existence results and one is able to obtain more quantitative information about the constructed examples, for instance, asymptotic area/energy estimates. I will also give a brief overview of the historical developments and the significance of minimal Lagrangian surfaces in mathematical physics. ---- Please join us after the seminar for SMRI afternoon tea, 2:00-2:45pm every Thursday on the SMRI Terrace (accessed through A14-04-L4.36) ---- Other upcoming SMRI events can be found here: https://mathematical-research-institute.sydney.edu.au/news-events/ SMRI YouTube Channel: https://youtube.com/@SydMathInst

Calendar (ICS file) download, for import into your favourite calendar application

UNCLUTTER for printing

AUTHENTICATE to mark the scnews item as read