The next MaPSS Seminar will be on Thursday July 18, with speaker Tiernan Cartwright. Honours students, graduate students and postdocs are encouraged to attend, and there will be refreshments provided in the level 7 tea room after the talk. Time and date: Thursday 18 July at 4-5PM Location: Carslaw 535 and online Zoom link: https://uni-sydney.zoom.us/j/87374230469 Title: Plurisubharmonic functions in geometric analysis Abstract: Subharmonic functions provide a more flexible way of studying holomorphic phenomena in one complex variable; for several complex variables, the natural analogue is plurisubharmonic functions. I will give an overview of this theory and its geometric applications, as well as explaining some background knowledge about complex geometry and what geometric analysis is, to try to keep the talk more self-contained. The main motivation is that this allows us to study weak solutions to the complex Monge-Ampere equation (an important PDE in complex geometry). In particular, this generalises Yauâs famous proof of the Calabi conjecture to less regular data. I will also motivate trying to extend these techniques to a degenerate case, which I am studying for my PhD thesis. If you are interested in giving a talk, please fill out the EoI here: https://forms.gle/9Pk2w14Fc4DMdXM78. If you have any questions or want to be added to the mailing list contact the organising group at MaPS@maths.usyd.edu.au.