TAGS - Linking Topology to Algebraic Geometry and Statistics

Program

All talks will be held in the Leibniz-Saal (E1 05),
Max Planck Institute for Mathematics in the Sciences (Leipzig, Inselstraße 22).

Monday, February 19, 2018
08:30 - 09:00Registration, Coffee, Welcome Address
09:00 - 10:00Ulrich Bauer(Technical University of Munich)
Persistent homology and the stability theorem
10:00 - 10:15Coffee Break
10:15 - 11:15Primoz Skraba(University of Primorska)
New Results for the Stability of Persistence Diagrams
11:15 - 11:30Coffee Break
11:30 - 12:30Magnus Botnan(Technical University of Munich)
Multidimensional Persistence and Clustering
12:30 - 14:30Lunch Break
14:30 - 15:30Herbert Edelsbrunner(Institute of Science and Technology Austria)
The multi-cover persistence of Euclidean balls
15:30 - 16:00Coffee Break
16:00 - 17:00Francesco Vaccarino(Politecnico di Torino)
A persistent variation: data field theory via sheaves of incidence algebras
Tuesday, February 20, 2018
08:30 - 09:00Welcome Coffee
09:00 - 10:00Wolfgang Polonik(University of California at Davis)
Topological data analysis and statistics
10:00 - 10:15Coffee Break
10:15 - 11:15Max Wardetzky(University of Göttingen)
Some statistical challenges of topological inference in the 1D case
11:15 - 11:30Coffee Break
11:30 - 12:30Stephan Huckemann(University of Göttingen)
Some Statistical Challenges Coming with Non-Euclidean Data
12:30 - 14:30Lunch Break
14:30 - 15:00Two-Minute Poster Presentations
15:00 - 15:15Coffee Break
15:15 - 16:15Jun Zhang(University of Michigan)
Statistical Manifold and Entropy-Based Inference
16:30 - 17:30Poster Session
Wednesday, February 21, 2018
09:00 - 09:30Welcome Coffee
09:30 - 10:30Bernd Sturmfels(Max Planck Institute for Mathematics in the Sciences)
Learning Algebraic Varieties from Samples
10:30 - 11:00Coffee Break
11:00 - 12:00Jürgen Jost(Max Planck Institute for Mathematics in the Sciences)
Ricci curvature as a tool for analyzing networks and other complexes
Free Afternoon
19:00Conference Dinner at Auerbachs Keller (à la carte and on individual payment)
Thursday, February 22, 2018
08:30 - 09:00Welcome Coffee
09:00 - 10:00Heather Harrington(University of Oxford)
Computational algebraic geometry for topological data analysis
10:00 - 10:15Coffee Break
10:15 - 11:15Pierre Lairez(INRIA Saclay Île-de-France)
Numerical computation of the homology of basic semialgebraic sets
11:15 - 11:30Coffee Break
11:30 - 12:30Anthea Monod(Columbia University)
Tropical Sufficient Statistics for Persistent Homology
12:30 - 14:30Lunch Break
14:30 - 15:00Two-Minute Poster Presentations
15:00 - 15:15Coffee Break
15:15 - 16:15Pascal Massart(Université de Paris-Sud)
Model selection and Geometry
16:30 - 17:30Poster Session
Friday, February 23, 2018
08:30 - 09:00Welcome Coffee
09:00 - 10:00Kathryn Hess(École polytechnique fédérale de Lausanne)
The many roles of topology in neuroscience
10:00 - 10:15Coffee Break
10:15 - 11:15Vladimir Itskov(The Pennsylvania State University)
Directed complexes, non-linear rank and convex sensing
11:15 - 11:30Coffee Break
11:30 - 12:30Michael Lesnick(Princeton University)
Quantifying Genetic Innovation: Mathematical Foundations for the Topological Study of Reticulate Evolution
12:30 - 14:30Lunch Break
14:30 - 15:30Luke Oeding(Auburn University)
Higher Order Partial Least Squares and an Application to Neuroscience
15:30 - 16:00Coffee Break
16:00 - 17:00André Uschmajew(Max Planck Institute for Mathematics in the Sciences)
Topological problems in low-rank optimization

Date and Location

February 19 - 23, 2018
Max Planck Institute for Mathematics in the Sciences
Inselstraße 22
04103 Leipzig
Germany
see travel instructions

Scientific Organizers

Christiane Görgen
MPI für Mathematik in den Naturwissenschaften

Sara Kališnik Verovšek
MPI für Mathematik in den Naturwissenschaften

Vlada Limic, Université de Strasbou & CNRS, Paris

Administrative Contact

Saskia Gutzschebauch
MPI für Mathematik in den Naturwissenschaften
Contact by Email

Phone: (+49)-341-9959-752

07.03.2018, 12:12