Discrete, Computational and Algebraic Topology
University of Copenhagen
November 10-14, 2014
Organized by Herbert Edelsbrunner (IST Austria/Duke U), Lisbeth Fajstrup (Aalborg U), Frank Lutz (U Copenhagen/TU Berlin), Konstantin Mischaikow (Rutgers U).
Scope of the workshop
The computation of algebraic invariants and other structural information is at the heart of
- Discrete Topology/Topological Combinatorics (in theory)
as well as of
- Computational Topology (in applications).
In this workshop, we aim at bringing together researchers with synergistic research interests from both areas to foster interaction and to exchange ideas on
- homology calculations,
- discrete Morse theory,
- persistent homology,
- complexity issues,
- random and structural aspects
of simplicial/cell complexes of a theoretical origin or from applied topological data.
Invited speakers
- Karim Adiprasito (Einstein Institute for Mathematics, Hebrew U, Israel)
- Robert J. Adler (Electrical Engineering, Technion - Israel Institute of Technology)
- Paul Bendich (Duke U, USA)
- Anders Björner (KTH Stockholm, Sweden)
- Pavle Blagojević (FU Berlin, Germany)
- Peter Bubenik (Cleveland State U, USA)
- Gunnar Carlsson (Stanford U, USA)
- Michael Farber (Queen Mary, U London, UK)
- Alexander Gaifullin (Steklov Mathematical Institute, Russia)
- Michael Joswig (TU Berlin, Germany)
- Matthew Kahle (Ohio State U, USA)
- Roman Karasev (MIPT, Russia)
- Claudia Landi (UniMORE, Italy)
- Jesper Michael Møller (U Copenhagen, Denmark)
- Neža Mramor Kosta (U Ljubljana, Slovenia)
- Marian Mrozek (Jagiellonian U, Poland)
- Vidit Nanda (U Penn, USA)
- Martin Raussen (Aalborg U, Denmark)
- Francisco Santos (U Cantabria, Spain)
- Primož Škraba (Jožef Stefan Institute, Slovenia)
- John M. Sullivan (TU Berlin, Germany)
- Uli Wagner (IST Austria, Austria)
- Nathalie Wahl (U Copenhagen, Denmark)
Slides from talks
- Robert J. Adler: Pondering persistence and extolling Euler
- Peter Bubenik: Statistical Topological Data Analysis
- Michael Joswig: Heuristics for sphere recognition
- Roman Karasev: Covering dimension using toric varieties
- Claudia Landi: The edit distance for Reeb graphs of surfaces
- Neža Mramor Kosta: Discrete Morse functions on infinite complexes
- Marian Mrozek: Morse-Forman-Conley theory for combinatorial multivector fields
- Martin Raussen: Combinatorial and topological models for spaces of schedules
- Francisco Santos: Many triangulated odd-dimensional spheres
Schedule and abstracts
Poster session
- Ulrich Bauer: The Morse theory of Cech and Delaunay complexes
- Francisco Belchi: Extracting more information from Persistence
- Felix Boes: Homology of Moduli Spaces of Riemann Surfaces
- Moshe Cohen: Discrete Morse functions from knots
- Marc Ethier: Advances regarding the persistence of maps
- Marek Filakovsky: Are two given maps homotopic? An algorithmic viewpoint
- Dejan Govc: The unimodal p-category is not monotonic in p
- Anna Gundert: Higher Dimensional Discrete Cheeger Inequalities
- Rachel Jeitziner: Topological Data Analysis applied to breast cancer research
- Shizuo Kaji: Shape deformation in computer graphics
- Marek Krcal: On computability and triviality of well groups
- Vitaliy Kurlin: Applications of Topological Data Analysis to Computer Vision
- Yuval Peled: Extremal problems on shadows and hypercuts in simplicial complexes
- Giovanni Petri: Homological Scaffolds of Brain Functional Networks
- Pawel Pilarczyk: Chain contraction approach to (co)homology computation
- Cordian Riener: Bounds on equivariant Betti numbers for symmetric semi-algebraic sets