Nonlinear problems arising in minimal immersions
报告人：Professor Marcello Lucia
College of Staten Island, CUNY
时间：2025年6月25日下午4：30 - 6：00
地点：数学楼2-3会议室
摘要：
A minimal immersion of a closed surface in a 3-manifold of constant curvature gives rise to a complex structure and a second fundamental form. A compatibility condition between these two data leads to study a nonlinear problem with exponential nonlinearity on the two-dimensional surface. During this talk we will present some existence and uniqueness of the solutions for those types of equations.
报告人简介：
Prof. Lucia received his master's degree in Algebra (Galois Theory) from the University of Lausanne, and later a Ph.D. in nonlinear analysis from the Swiss Federal Institute of Technology. After his Ph.D. he obtained several postdoctoral and visiting positions: University of Rome II, Universitat Politecnica de Catalunya (Barcelona), Rutgers University, Tata Institute of Technology (Bangalore), Chinese Academy of Sciences (Beijing), National Center of Theoretical Sciences (Taiwan). He obtained an Alexander von Humboldt grant to pursue his research in Cologne (Germany), and also a Ramón Y Cajal Fellowship. In 2007, he got a faculty position at the College of Staten Island at the City University of New York, with tenure in 2016. His research interests are Partial Differential Equations, Calculus of Variations, Nonlinear Analysis, Differential Geometry.
