2週內演講

Colloquium, 成功大學數學系 王業凱助理教授 Thursday, May 13, 15:10—16:00 數學系3173 Title: Convex Body Isoperimetric Conjecture in the Plane Abstract: The first part of my talk is an introduction to the isoperimetric inequality, following Osserman's survey. Next I would present the joint work with Bo-Hshiung Wang in which we confirm two special cases for the convex body isoperimetric conjecture in the plane.

Colloquium, 國立陽明交通大學應用數學系 吳昌鴻教授 Thursday, May 13, 16:10—17:00 數學系3173 Title: The Competition Between Red and Grey Squirrels: a Mathematical Approach Abstract: The competition is a common interaction among species and forms one of the interesting topics in mathematical ecology. A classical example is the replacement of the red squirrel (Sciurus vulgaris) by the invasive grey squirrel (Sciurus carolinensis) in Britain. A remarkable work done by Okubo et al. (1989) considered a two-species competition-diffusion model to describe the interaction between them. In terms of the traveling waves, the invasion speed can be estimated. In this talk, we would like to provide another approach to model this phenomenon and provide some biological thoughts.

Colloquium, 高雄大學應用數學系 吳宗芳特聘教授(因疫情取消) Thursday, May 20, 16:10—17:00 數學系3174 Title: Ground state solutions for non-autonomoue Schrodinger-Poisson systems Abstract:Link

Colloquium, 國立陽明交通大學應用數學系 黃信元教授(因疫情取消) Thursday, June 3, 16:10—17:00 數學系3174 Title: An Invitation to Image Processing using PDEs Abstract: In the past decade, a new approach based on PDEs and variational methods has emerged in the image processing. It has many interesting and challenging mathematical problems in the areas of Calculus of Variation and PDEs. Computationally, it can greatly benefit from the existing numerical methods of PDEs and optimization. In this talk, I will give a brief introduction to the PDEs and variational methods for image processing( image denoising and segementation) . I shall emphasize the underlying mathematical problems and the required tools.