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conference
12/04/2023 14/04/2023

Statistics of Shapes and Geometry of Shape Spaces

Statistics of shapes has a long tradition in medical image analysis and biology. This spans from classical landmark representations and Kendall's shape space to infinite dimensional shape spaces with rich geometric structures. Recent work has added stochastics and statistical inference for stochastic processes to the picture. Shape analysis, shape statistics, and shape stochastics give rise to new research directions in both pure and applied mathematics, and new developments have direct impact in applied fields such as evolutionary biology. The aim of the conference is to establish connections between the communities of shape analysis, differential geometry and statistics for stochastic processes. Focus will be on intersections between geometry including sub-Riemannian geometry, shape analysis, stochastic analysis, and applications in biology, including phylogenetic inference.

Speakers

Sylvain Arguillère

CNRS

Shreya Arya

Duke University

Ian Dryden

Florida International University

Benjamin Eltzner

Georg-August-University of Goettingen

Erlend Grong

University of Bergen

Stephan Huckemann

Georg-August-University of Goettingen

Jürgen Jost

MPI Mathematics in the Sciences

Huiling Le

Ezra Miller

Duke University

Anthea Monod

Imperial College London

Axel Munk

Georg-August-University of Goettingen

Tom Nye

Newcastle University

Morten Pedersen

INRIA

Xavier Pennec

INRIA

Moritz Schauer

Chalmers University of Technology

Shan Shan

University of Southern Denmark

Anna Song

Imperial College London

Peter Stadler

Leipzig University

Alain Trouvé

CNRS

Frank van der Meulen

VU Amsterdam

Christoph von Tycowicz

Zuse Institute Berlin

Program

12.04.2023
10:00 - 10:30
10:30 - 11:15 Alain Trouvé (CNRS)
From tissue to particles: Few mathematical challenges toward molecular computational anatomy
11:15 - 12:00 Xavier Pennec (INRIA)
Taylor expansion of geodesic triangles in Riemannian manifolds: a central tool to study the effect of curvature in geometric statistics
12:00 - 13:30
13:30 - 14:15 Frank van der Meulen (VU Amsterdam)
Inference for partially observed stochastic processes on a graph
14:15 - 15:00 Axel Munk (Georg-August-University of Goettingen)
Transport Dependency: Optimal Transport Based Dependency Measures
15:00 - 15:30
15:30 - 16:15 Christoph von Tycowicz (Zuse Institute Berlin)
Geometric Structures for Efficient Shape Analysis
16:15 - 17:00 Anna Song (Imperial College London), Monod, Anthea
Persistent Homology of the Signed Distance and Morse Theory for Shape Texture Analysis
13.04.2023
09:00 - 09:45 Sylvain Arguillère (CNRS)
The difficulties with sub-Riemannian geometry in infinite dimensions
09:45 - 10:30 Erlend Grong (University of Bergen)
Sub-Riemannian geometry, most probable paths and transformations
10:30 - 11:00
11:00 - 11:45 Morten Pedersen (INRIA)
Principal subbundles for dimension reduction
11:45 - 13:30
13:30 - 14:15 Ian Dryden (Florida International University)
Regression and curve fitting for networks and shapes
14:15 - 15:00 Benjamin Eltzner (Georg-August-University of Goettingen)
Diffusion Means and their Relation to Intrinsic and Extrinsic Means
15:00 - 15:30
15:30 - 16:15 Shreya Arya (Duke University)
A Sheaf Theoretic Construction of Shape Space
16:15 - 17:00 Shan Shan (University of Southern Denmark)
Exploring statistical shape analysis with manifolds and fiber bundles
Attention: this talk has to be cancelled.
14.04.2023
09:00 - 09:45 Tom Nye (Newcastle University)
The origin of wald space and phylogenetic information geometry
09:45 - 10:30 Stephan Huckemann (Georg-August-University of Goettingen)
On the structure of wald space for phylogenetic trees
10:30 - 11:00
11:00 - 11:45 Ezra Miller (Duke University)
Geometric central limit theorems on stratified spaces
11:45 - 12:30 Huiling Le
Stein's method on certain stratified spaces
Attention: this talk has to be cancelled.
12:30 - 13:30
13:30 - 14:15 Jürgen Jost (MPI Mathematics in the Sciences)
Shapes and Features
14:15 - 15:00 Peter Stadler (Leipzig University)
RNA Shapes: Folding Dynamics and Evolution

Scientific Organizers

Karen Habermann

University of Warwick

Sayan Mukherjee

Max Planck Institute for Mathematics in the Sciences, Leipzig

Max von Renesse

Leipzig University

Stefan Horst Sommer

University of Copenhagen

Administrative Contact

Katharina Matschke

Max Planck Institute for Mathematics in the Sciences, Leipzig Contact via Mail