MaPSS: Maths Postgraduate Seminar Series: Tiernan Cartwright -- Plurisubharmonic functions in geometric analysis

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 Yau’s 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.