Title    name Lastest   |   Most hits   년도선택 최근 50건201120102009200820072006200520042003200220012000     KAIST Math Colloquium (First Semester,2011) 극미세먼지로 인한 대기오염이 건강에 미치는 효과 분석을 위한 베이지안 통계 모델 Chung, Yeonseung (KAIST) 2011-05-19   The lack of national studies of the health effects of long-term exposure to ambient PM and its chemical components determining the PM toxicity represents a major evidence gap for the implementation of more effective air quality interventions. The US Environmental Protection Agency (EPA) is calling for research to explain heterogeneity in health responses to air pollutants that might be explained by the compositional differences in the pollution mixtures or sources or other factors. We have developed Bayesian spatially varying coefficient regression models to estimate long-term effects of PM2.5 on mortality while identifying the chemical composition that modifies the health effects. We will use spatio-temporal variation in health outcomes and exposure to estimate: 1) spatially varying health risks associated with long-term exposure to PM2.5; and; 2) effect modification by PM2.5 constituents. Our models will account for spatial misalignment of the data and uncertainty in the estimation of PM2.5 chemical components. We will apply our model to the Medicare Cohort Air Pollution Study (MCAPS) which includes 7.9 million Medicare enrollees followed for the period of 2000-2006 in the Eastern part of the US. We will use PM2.5 data from 518 monitoring stations and PM2.5 chemical components data from 241 monitors located in the Eastern region of the US   KAIST Math Colloquium (First Semester,2011) Modular curves and their applications to elliptic curves Kim, Changheon (Hanyang University) 2011-05-06   Modular curves as moduli spaces of elliptic curves with some additional structures provide an important tool for studying arithmetic of elliptic curves. In this talk we will explain how rational points of modular curves can be applied to the problem of determining the torsion subgroups and ranks of elliptic curves over number fields.   KAIST Math Colloquium (First Semester,2011) Circular colouring of graphs Xuding Zhu (Zhejiang Normal University) 2011-04-21   Vertex colouring of graphs is an active research area in graph theory. It has wide applications to practical problems and also has many theoretically deep results and challenging problems. Circular colouring of graphs is a refinement of the conventional vertex colouring of graphs. It has atttract a lot of attention in the past twenty years, and becomes an important branch of chromatic graph theory, with many exciting results and new techniques. This talk gives a survey on research in this area.   KAIST Math Colloquium (First Semester,2011) Korean mathemaics between 1894 to 1945 Lee, Sanggu (Sungkyunkwan University) 2011-04-07   The purpose of this talk is to discover how Koreans worked hard to learn modern western mathematics and science in late 19th century by themselves. We will see many hundred years old Korean mathematics books which were written in Korean. We will talk aboutfrontiers of Korean modern mathematics between 1894 to 1945 such as LEE Sang-Seol, YU Il-Sun, CHOE Gyu-Dong, REE Im-Hak and CHOE Yun-Sik. It will give us a fine view of Korean efforts in Western modernity for mathematics in Korea that was not known before.   KAIST Math Colloquium (First Semester,2011) Knots in dimension three and topology of dimension four Cha, Jaechoon (POSTECH) 2011-03-24   We introduce knots and links in dimension three and their deformation in dimension four which was first introduced by Fox and Milnor. We discuss its key role in understanding the topology of 4-dimensional manifolds and the interplay with 3-dimensional topology. We discuss briefly recent developments, including joint work with Kent Orr which presents new L2-theoretic methods for amenable groups.   KAIST Math Colloquium (First Semester,2011) The Circle and Divisor Problems, Bessel Function Series, and Weighted Divisor Sums Bruce C. Berndt (University of Illinois) 2011-03-07   A page in Ramanujan's lost notebook contains two identities for trigonometric sums in terms of doubly infinite series of Bessel functions. One is related to the famous   KAIST Math Colloquium (First Semester,2011) Diffusion and Directed Movements in Heterogeneous Environments Wei-Ming Ni (University of Minnesota & East China Normal University) 2011-02-24    I plan to explain the interactions between diffusion and the spatial inhomogeneity in mathematical ecology. Main examples used for illustration include the classic logistic equation and the Lotka-Volterra competition systems. Starting from eigenvalue problems for indefinite weights, we will study the various interesting phenomena associated with the (single) logistic equation as well as the competition systems in a systematic way. More realistic models, such as directed movements and taxis, will be discussed.   KAIST Math Colloquium (First Semester,2011) Hybrid discontinuous Galerkin methods for elliptic problems Jeon, Youngmok (Ajou University) 2011-02-10   In this presentation we introduce the so called Cell Boundary Element (CBE) methods for partial differential equations. It can be interpreted as a hy-bridized DG method. The CBE method was introduced by the speaker and his colleagues. The method is base on 1)a local solution decomposition 2)flux continuity on intercell boundary. Therefore, the method is defined on the skeleton of a mesh generation, which will reduce degrees of freedom a lot. Moreover, the method naturally satisfies local flux conservation property. We apply our method for the following PDEs : ＊2nd order elliptic equations ＊Stokes equations ＊multiscale elliptic equations

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