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.

Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures file 인하대학교 강현배
Math Colloquia Structural stability of meandering-hyperbolic group actions file 제주대학교 김성운
Math Colloquia Structures of Formal Proofs file 경북대학교 정주희
Math Colloquia Study stochastic biochemical systems via their underlying network structures file 포항공과대학교 김진수
Math Colloquia Subgroups of Mapping Class Groups file 서울대학교 김상현
Math Colloquia Subword complexity, expansion of real numbers and irrationality exponents file 동국대 김동한
Math Colloquia Sums of squares in quadratic number rings file Univ. of Kentucky David Leep
Math Colloquia Symmetry Breaking in Quasi-1D Coulomb Systems file 서강대학교 Paul Jung
Math Colloquia Symplectic Geometry, Mirror symmetry and Holomorphic Curves file 연세대 수학과 홍한솔
Math Colloquia Symplectic topology and mirror symmetry of partial flag manifolds file 부산대학교 수학과 김유식
Math Colloquia The classification of fusion categories and operator algebras file Kyoto University Masaki Izumi
Math Colloquia The Lagrange and Markov Spectra of Pythagorean triples file 동국대학교 김동한
Math Colloquia The Mathematics of the Bose Gas and its Condensation file KAIST 이지운
Math Colloquia The phase retrieval problem file Hong Kong University of Science and Technology Yang Wang
Math Colloquia The process of mathematical modelling for complex and stochastic biological systems file KAIST 김재경
Math Colloquia The Shape of Data file Stanford University Gunnar E. Carlsson
Math Colloquia The significance of dimensions in mathematics file Kyoto Univ./서울대학교 Heisuke Hironaka
Math Colloquia Theory and applications of partial differential equations file 서울대 변순식
Math Colloquia Topological aspects in the theory of aperiodic solids and tiling spaces file Georgia Institute of Technology, School of Mathematics and School of Physics Jean V. Bellissard
Math Colloquia Topological surgery through singularity in mean curvature flow file 고등과학원 최경수
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