学术报告（关波 2024.3.25）

摘要：In this talk we discuss the roles of concavity, symmetry and subsolutions in the study of fully nonlinear PDEs in connection to geometric problems, and how these roles guide us to introduce some new equations involving differential forms of higher rank, more specifically real (p, p) forms for p > 1 on complex manifolds. Our work was motivated by the importance of such forms in complex and algebraic geometry.  In the second half of the talk explore the possibility to weaken or extend these conditions or notions. The talk is intended to be informal and partially based on joint work with my student Mathew George and other collaborators.