报告题目：Gårding polynomials and applications

报告人：马飙，华东师范大学

报告时间：7月3日，16:15-17:45

报告地点：第五教学楼5501

摘要：Motivated by classical hyperbolic polynomials and Caffarelli–Nirenberg–Spruck theory, we introduce Gårding and ideal Gårding polynomials to capture the ellipticity and convexity features that appear in fully nonlinear  PDEs. I will discuss some interesting properties of these two classes and their relation with Lorentzian polynomials. I will mention some applications to combinatorics and probability theory, including Rayleigh inequalities and log-concavity for generating functions of matroids and graphs. This talk is based on a joint work with Hao Fang.