ACAT

ACAT Final Project Meeting
When: July 6-10, 2015
Where: IST Austria, Klosterneuburg, Austria

Introduction

The last fifteen years have witnessed the emergence of Computational Topology from humble beginnings to a vibrant research enterprise, fueled from at least two sides: strong mathematical foundations and timely applications.

This meeting focuses on three areas:

• topological data analysis,
• stochastic topology, and
• topology of concurrency and distributed computing.

While the core of the field is mathematical, it thrives on the interaction with other disciplines, including computing, neuroscience, biology, material science, and others.

Invited Speakers

• Janos Pach (École polytechnique fédérale de Lausanne)
• Uli Wagner (IST Austria)
• Tamal Dey (Ohio State University)
• Iskander Taimanov (Novosibirsk State University)

Scientific Committee

• Paul Bendich (Duke University)
• Sergio Cabello (University of Ljubljana)
• Herbert Edelsbrunner (IST Austria, chair)
• Dmitry Kozlov (University of Bremen)

Organizing Committee (IST Austria)

• Arseniy Akopyan
• Herbert Edelsbrunner (chair)
• Mabel Iglesias-Ham
• Anton Nikitenko
• Salman Parsa
• Florian Pausinger
• Paweł Pilarczyk
• Hubert Wagner

Acknowledgment

The Final Project Meeting of the ACAT Research Network is funded through the European Science Foundation (ESF).

Program & Abstract

Presentations

Some speakers of the ACAT meeting agreed to share the slides of their talks. The corresponding files are posted below, ordered alphabetically by the first name of the speaker. Please, note that these presentations are copyrighted material and may not be re-used or re-published without explicit permission of the respective authors.

• Barbara Di Fabio: Comparing persistence diagrams through complex vectors
• Claudia Landi: Color and texture analysis via multidimensional persistence
• Gard Spreemann: Using persistent homology to reveal hidden informationin neural data
• Iskander Taimanov: Numerical topological analysis of three-dimensional geological models
• Lisbeth Fajstrup: Cut-off theorems and obstructions to dihomotopy
• Marek Krčál: Cohomotopy groups capture robust properties of zero sets
• María José Jiménez: Ongoing work of the combinatorial image analysis group in Seville
• Martin Raussen: Combinatorial and topological models for spaces of schedules
• Mateusz Juda: Homology of PV programs
• Paweł Dłotko: Persistence landscape toolbox – a tool for topological statistics
• Steve Oudot: Kernels for persistence diagrams with applications in geometry processing
• Tamal Dey: Multiscale mapper: a framework for topological summarization
• Ulrich Bauer: Learning from persistence diagrams
• Vitaliy Kurlin: High-dimensional optimal persistent skeleton of unstructured data

All the speakers of the ACAT meeting are invited to post the slides or notes of their talks at this page. To do so, please, send the file you would like to be published here to pawel.pilarczyk [at] ist.ac.at.

Contact

Academic:
Herbert Edelsbrunner, herbert.edelsbrunner[AT]ist.ac.at

Organizational:
Marie Trappl, marie.trappl[AT]ist.ac.at

Institute of Science and Technology Austria
Am Campus 1
A – 3400 Klosterneuburg
Phone: +43 (0)2243 9000
Fax:     +43 (0)2243 9000 2000