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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 Green’s function for initial-boundary value problem file National Univ. of Singapore Shih-Hsien Yu
Math Colloquia Heavy-tailed large deviations and deep learning's generalization mystery file Northwestern University 이창한
Math Colloquia Solver friendly finite element methods file Oklahoma State Univ. 구자언
Math Colloquia Deformation spaces of Kleinian groups and beyond file Osaka University Kenichi Ohshika
Math Colloquia On some nonlinear elliptic problems file Paul Sabatier University, Toulouse Yuri Egorov
Math Colloquia Partial differential equations with applications to biology file POSTECH 황형주
Math Colloquia Limit computations in algebraic geometry and their complexity file POSTECH 현동훈
Math Colloquia Variational Methods without Nondegeneracy file POSTECH 변재형
Math Colloquia Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
Math Colloquia Mixed type PDEs and compressible flow file POSTECH 배명진
Math Colloquia Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
Math Colloquia Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
Math Colloquia A-infinity functor and topological field theory file Simons Center for Geometry and Physics Kenji Fukaya
Math Colloquia The Shape of Data file Stanford University Gunnar E. Carlsson
Math Colloquia On the resolution of the Gibbs phenomenon file SUNY Buffalo 정재훈
Math Colloquia <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world file UCLA Stanley Osher
Math Colloquia 학부생을 위한 강연: 건축과 수학 file UI 건축사무소 위진복
Math Colloquia <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations file UNIST 배한택
Math Colloquia Quantitative residual non-vanishing of special values of various L-functions file UNIST 선해상
Math Colloquia Counting number fields and its applications file UNIST 조재현
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