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Extra Form
Lecturer Gunnar E. Carlsson
Dept. Stanford University
date Mar 25, 2014

Homology is a method for assigning signatures to geometric objects which reects the presence of various kinds of features, such as connected components, loops, spheres, surfaces, etc. within the object. Persistent homology is a methodology devised over the last 10-15 years which extend the methods of homology to samples from geometric objects, or point clouds. We will discuss homology in its idealized form, as well as persistent homology, with examples.

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List of Articles
Category Subject Dept. Lecturer
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 The significance of dimensions in mathematics file Kyoto Univ./서울대학교 Heisuke Hironaka
Special Colloquia Persistent Homology file Stanford University Gunnar E. Carlsson
Special Colloquia Structures on Persistence Barcodes and Generalized Persistence file Stanford University Gunnar E. Carlsson
Special Colloquia Topological Mapping of Point Cloud Data file Stanford University Gunnar E. Carlsson
Math Colloquia The Shape of Data file Stanford University Gunnar E. Carlsson
Classification of simple amenable operator algebras file Lakehead University Grazia Viola
Math Colloquia Random walks in spaces of negative curvature file Yale Univ. Giulio Tiozzo
Math Colloquia Quantum Dynamics in the Mean-Field and Semiclassical Regime file Ecole Polytechnique Francoise Golse
Math Colloquia Entropies on covers of compact manifolds file CNRS (France) François Ledrappier
Special Colloquia Queer Lie Superalgebras file Univ. of Texas, Arlington Dimitar Grantcharov
Math Colloquia Sums of squares in quadratic number rings file Univ. of Kentucky David Leep
Math Colloquia Fano manifolds of Calabi-Yau Type file 서울대학교 Atanas Iliev
Special Colloquia Regularity of solutions of Hamilton-Jacobi equation on a domain file ENS-Lyon Albert Fathi
Special Colloquia What is Weak KAM Theory? file ENS-Lyon Albert Fathi
Math Colloquia <학부생을 위한 ɛ 강연> Secure computation: Promise and challenges file 송용수 <학부생을 위한 ɛ 강연> Secure computation: Promise and challenges
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