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Extra Form
Lecturer Gunnar E. Carlsson
Dept. Stanford University
date Mar 27, 2014

Creating information and knowledge from large and complex data sets is one the fundamental intellectual challenges currently being faced by the mathematical sciences. One approach to this problem comes from the mathematical subdiscipline called topology, which is the study of shape and of its higher dimensional analogues. This subject has thrived as a field within pure mathematics, but the last fifteen years has seen the development of topological methods for studying data sets, which are modeled as point clouds or finite metric spaces. I will survey this work, with examples.


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List of Articles
Category Subject Dept. Lecturer
Math Colloquia 1 is big enough to understand 3 file 카이스트 백형렬
Math Colloquia One and Two dimensional Coulomb Systems file 카이스트 폴정
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Math Colloquia Infinite order rationally slice knots file 카이스트 수리과학과 박정환
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Math Colloquia Iwasawa main conjecture and p-adic L-functions file 포항공과대학교 박지훈
Math Colloquia 4-manifold topology and disk embedding file 포항공과대학교 차재춘
Math Colloquia Restriction theorems for real and complex curves file 포항공과대학교 박종국
Math Colloquia Trends to equilibrium in collisional rarefied gas theory file 포항공과대학교 이동현
Math Colloquia Study stochastic biochemical systems via their underlying network structures file 포항공과대학교 김진수
Math Colloquia Vlasov-Maxwell equations and the Dynamics of Plasmas file 포항공과대학교 장진우
Math Colloquia An equivalent condition to Bohr's for Dirichlet series file 포항공대 최윤성
Special Colloquia A wrapped Fukaya category of knot complement and hyperbolic knot file 포항공대 오용근
Math Colloquia Noise-induced phenomena in stochastic heat equations file 포항공대 김건우
Math Colloquia <학부생을 위한 ɛ 강연> Mathematics and music: Pythagoras, Bach, Fibonacci and AI file 피아니스트 임현정
Math Colloquia 학부학생을 위한 강연회: 기하학과 우주론 file 홍익대학교 이남훈
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