Mini course by Patrizio Frosini:
"Some new results in two-dimensional and group-invariant persistent homology"
April. 3 to 7, 2017.

Organization

Description: A mini course by Patrizio Frosini about "Some new results in two-dimensional and group-invariant persistent homology".

Location and Times: See below.

Contact: Facundo Memoli memoli@math.osu.edu.

Support: MRI

Schedule

• Monday, April 3rd. Lecture 1: The phenomenon of monodromy in 2D persistent homology. Time and Location: 11:30AM-12:30PM, CH 240. Abstract.
• Tuesday, April 4th. TGDA seminar: A theoretical framework for topological data analysis. Time and Location: 4--5PM, CH 240. Abstract.
• Wednesday, April 5th. Lecture 2: The coherent matching distance in 2D persistent homology. Time and Location: 11:30AM--12:30PM, CH 240. Abstract.
• Friday, April 7th. Lecture 3: Group-invariant persistent homology and its use for topological data analysis. Time and Location: 11.30--12.30, CH 240. Abstract.

Materials/Papers/Links

• Andrea Cerri, Marc Ethier, Patrizio Frosini, A study of monodromy in the computation of multidimensional persistence, Proceedings of the 17th IAPR International Conference on Discrete Geometry for Computer Imagery, Seville, Spain, March 20-22, 2013, Lecture Notes in Computer Science 7749, 2013, 192-202. DOI: 10.1007/978-3-642-37067-0_17.
  Paper available at here.
  Preprint available here.
• Patrizio Frosini, Towards an observer-oriented theory of shape comparison, Proceedings of the 8th Eurographics Workshop on 3D Object Retrieval, Lisbon, Portugal, May 7-8, 2016, A. Ferreira, A. Giachetti, and D. Giorgi (Editors), 5-8. DOI: 10.2312/3dor.20161080.
  Paper available here.
  Preprint available here.
• Patrizio Frosini, Grzegorz Jablonski, Combining persistent homology and invariance groups for shape comparison, Discrete & Computational Geometry, vol. 55 (2016), n. 2, pages 373-409. DOI: 10.1007/s00454-016-9761-y
  Paper available here.
  Preprint available here.