Hello all, Welcome to the new semester! The first MaPSS talk of this semester will be at 17:00 on Mon 2nd of March in Carslaw 535. It’s a great opportunity to meet fellow postgrads, listen to an interesting talk, and of course get some free pizza! ************************************************************************************** Speaker: Yilin Ma Title: Inverse Problems on Riemann Surfaces Abstract: We will introduce some basic notions of the Calderon problems and in particular their formulations on Riemann surfaces. Amongst all geometric settings for such problems, results on Riemann surfaces have been most satisfying. We will describe state of the art techniques in solving such problems, which involves existence theory for holomorphic Morse functions with real boundary conditions. Using this result and by proving a class of Carleman estimates, we will construct complex geometric optic solutions which can be used to solve the Calderon problems in two dimensions. If time permits, we will also look at inverse problems in higher dimensions, and briefly discuss why the same technique have limitations on general Riemannian manifolds. ************************************************************************************** See you there! Details can also be found on the school’s Postgraduate Society website: http://www.maths.usyd.edu.au/u/MaPS/mapss.2019.html Cheers, Wenqi