IGAP Complex Differential Geometry Seminar - TOMORROW, Thursday 12 January - Carlo Scarpa

[ICTP Math Section]

Begin forwarded message:
>
> *From: *Jacopo Stoppa <jacopostoppa at gmail.com 
> <mailto:jacopostoppa at gmail.com>>
> *Subject: **IGAP Complex Differential Geometry Seminar - Thursday 12 
> January - Carlo Scarpa*
> *Date: *10 January 2023 at 18:19:04 GMT+1
> *To: *math-users at lists.sissa.it <mailto:math-users at lists.sissa.it>
>
> The next talk in the IGAP Complex Differential Geometry series will 
> take place at 11:00 on Thursday, 12 January 2023, in the IGAP lecture 
> room 205.
> *Please note unusual day and time. We apologise for overlapping with 
> other activities. We are working on fixing this for future meetings*.
> The speaker is Carlo Scarpa (UQ Montreal), abstract below.
> See you there,
> Claudio and Jacopo
>
> Title: Canonical representatives of complexified Kähler classes
> Abstract: Motivated by constructions appearing in mirror symmetry, we 
> consider the problem of finding canonical representatives for a 
> complexified Kähler class on a compact complex manifold. These are 
> cohomology classes of the form \beta+i \alpha, for a Kähler 
> class \alpha and a closed real (1,1)-class \beta. As is often the case 
> in complex geometry, one way to fix a representative of such a class 
> is to impose an elliptic PDE. In this talk, I will explain why a 
> natural choice of PDE is a coupling of the deformed Hermitian 
> Yang-Mills equation and the constant scalar curvature equation. We 
> will then see how to prove the existence of solutions in some special 
> cases. Based on arXiv:2209.14157, joint work with Jacopo Stoppa.