Title: A survey of recent progress in hessian equations in Kahler geometry.

Abstract: We report some of the recent works on fully non-linear Hessian PDEs on Kahler manifolds. We propose the Gårding/ideal Gårding theory as an extension of the classical hyperbolic polynomial theory. We discuss the corresponding Liouville type theorem and $L^\infty$ theory using entropy control. Applications to semi-stable J equation will also be discussed. This talk contains joint work with Biao Ma and Jinyang Wu.

Title: Game-theoretic vegetation dynamics modeling: from theory to applications

Abstract: The structure and composition of vegetation emerge from many interacting processes, including plant physiology and demography, competition among individuals, vegetation–soil feedbacks, and environmental conditions and disturbances. In this talk, I will summarize my work on demographic vegetation modeling and ecosystem fire modeling, and show how these ecological processes and eco-evolutionary optimization...

Topics: Number theory by machine learning

Topics: Number theory by machine learning

Topics: Number theory by machine learning

Topics: Number theory by machine learning