|PDE Seminar, 清華大學數學系 江金城教授|
Monday, February 13, 11:10—16:00 數學系3F會議室
Title: NCTS-NCKU 2017 Reading Seminar on Kinetic Theory
|Colloquium, 台灣大學數學系 賴青瑞教授|
Tuesday, February 21, 16:10—17:00 數學系3174教室
Title: On Canonical Maps of Projective Varieties
Abstract: Our aim to study the geometry of projective varieties. In the classification problem, the dominating class is the collection of varieties of general type, i.e. varieties such that the canonical divisor K_X is big. In dimension one, these are all genus compact Riemann surface. According to the Minimal Model Conjecture, up to birational isomorphism, one can put an extra assumption on varieties of general type, namely K_X being nef (i.e. X is a minimal model). In this situation, I will explain two projects concerning the volume and the map defined by the linear system : 1. Surface of maximal canonical degrees (joint w/ Sai-Kee Yeung) 2. Higher dimensional Noether inequality (joint w/ Jungkai Chen) Both topics exploit the geometry of the canonical system and certain inequalities involving and . If time permits, I will also discuss a work in progress on the anti-canonical volume of Fano threefolds.
|Colloquium, 中正大學數學系 黃郁芬教授|
Wednesday, February 22, 16:10—17:00 數學系3174教室
Title: Influence Analysis on Linear Regression for Symbolic Interval Data
Abstract: Nowadays, with the advent of computers, data sets become inevitably large than before. This brings the di?culty in performing standard statistical analysis. Hence, such huge data sets might be aggregated in some fashion and the resulting summary data may be represented by lists, intervals, histograms and the like, which are called symbolic data. Linear regression is one of the most popular and useful tools to analyze the data for studying the relationship between a response variable and its explanatory variable(s). During the ?tting process, observations that are suspicious can greatly in?uence the results of the analysis. Therefore, detection of such in?uential points becomes an essential task. Many literatures have studied for the in?uence analysis in linear regression for classical data. However, to our knowledge, a study in the in?uence analysis on regression for symbolic data has not been explored in the literature. In this paper, we develop three sample versions of the in?uence function motivated by Hampel (1974) to identify suspicious concepts which cause seriously adverse e?ects on the linear regression analysis results for symbolic interval data. Also we illustrate these proposed methods with simulation studies and real data examples.
|Colloquium, 中山大學應用數學系 黃信元教授|
Thursday, February 23, 16:10—17:00 數學系3174教室
Title: On the Chern-Simons System with Two Higgs Particles
Abstract: Chern-Simons Model with two Higgs Particles. Mathematically, the system is a typical skew-symmetric system. Thus, the action functional of this system is indefinite, which makes it difficult to study from the variational method. Among others, I will present my recent works on this system, including the uniqueness of the topological solutions and the radial non-topological solutions, existence of bubbling solutions on a torus and the sharp estimates on the fully bubbling solutions of Liouville type ( joint work with X. Han and C.S. Lin, Y.Lee and L. Zhang).