2010 SKKU BK 21 Math Modeling Presentations
(Photo, PPT, Lecture Note, Movie Clips)
▣ Date : 2010
▣ Room :
31351A or 31316 etc
▣ Audience : Math Major Under and Graduates, Faculties
▣ Speakers :
Speaker (연사) 
Date 
Talk Title (제목) 
Abstract 
Movie 
LeRoy Beasley Utah State Univ. 
2010 Feb 19 
Linear Preserver Problems and their Solutions, Matrices over Fields. There are two forms of preserver problems, one xes a function, set, or relation and asks what linear transformations leave it invariant. This is the most common form studied. The other form xes the structure of a linear transformation and asks what functions, sets, and relations are fixed by it. The rst form of problem is well studied, the second is not as easy and few full characterizations are known. We consider the first form first. 

LeRoy Beasley Utah State Univ. 
2010 Feb 23 
Linear Preserver Problems and their Solutions, Matrices over Semirings In this article we will survey the research concerning linear transformations on "vector" spaces over semirings (which are not rings). 
SangGu LEE SungkyunkwanUniv. 
2010 Feb 19 
Combination of Tradition and Leading Edge of Korean
Mathematics We will start with recent discovery on old Korean Mathematics and try to find a couple of area that we can contribute to the world of mathematics. "Korea's eCampus Vision 2007” was a program begun in 2003. Most of lecture rooms at Sungkyunkwan University were equipped with beam projector, viewcam, tablet PC and internet database before 2006. This provided a modern learning environment for our linear algebra classes. Computer demonstrations are easy, and lectures can easily be recorded so that students can review them right after class. Today, we would like to share what we have experienced for teaching of Linear Algebra over the years in this new learning environment. It does include Java, Flash, random problem generator and Mobile Sage. 
LeRoy Beasley Utah State Univ. 
2010 March 4 
Preserving Regular Tournaments and Term Rank1 We investigate linear operators which map certain types of tournaments to themselves. To this end we also characterize term rank1 preservers on the set of matrices whose associated digraphs are simple loopless directed graphs, and nd that this set of operators is more diverse than might be expected. 
LeRoy Beasley Utah State Univ. 
2010 March 4 
Preserving Regular Tournaments and Term Rank1 (part 2) Linear Preserver Problems and their Solutions, Problems, Conjectures, etc. Linear Preserver Problems and their Solutions, Problems, Conjectures, etc. We investigate linear operators which map certain types of tournaments to themselves. To this end we also characterize term rank1 preservers on the set of matrices whose associated digraphs are simple loopless directed graphs, and nd that this set of operators is more diverse than might be expected. 
Speaker (연사) 
Date 
Talk Title (제목) 
Abstract 
Movie 
이재화 박사 (중국과학원) 
2010 Feb 9 
"A subspace algorithm for nonlinear equality constrained optimization" Subspace methods for optimization are of a special class for solving optimization problems. Their main feature is, at each iteration, to search for an optimal solution in the subspace. Since subspace techniques for nonlinear optimization can reduce both computation cost and memory size, they are able to improve the efficiency in solving large scale problems and widen the scope of solvable problems. In this talk, we present a subspace algorithm for nonlinear equality constrained optimization (ECO). Based on SQP method, this algorithm is designed and we propose a theoretically suitable subspace. In practice, we consider reduced constraints and two different possible subspaces. We prove that our search direction is a descent direction for the L_{/infty} exact penalty function and, under certain conditions, obtain a global convergence property. Preliminary numerical results are given and some implementations issues are discussed. 


박정필 박사 (서울대) 
2010 Feb 9 
"Hilbert functions of almost reverse lexicographic ideals" 


이희권 박사 (KAIST) 
2010 Feb 9 
"On nonnegatively curved 4manifolds with discrete symmetry" 


곽진호 교수님 (Postech) 
2010 Sep 27 
Matrix Integrals and Map enumeration  A Gaussian integral on the space of hermitian matrics; (analytic one).
 For a given natural number and , fix a long cycle in the 

김희철 상무님 (MIRAE ASSET) 
2010 Oct 1 
금융산업에서의 Actuary의 역할과 Vision (abstract attached in PDF file) 

 
