Workshop “Workshop on Applied Topology 2019”
Date: January 7-11, 2019
Place: Maskawa Building for Education and Research, Kyoto University, Japan
Access: https://www.kyoto-u.ac.jp/en/access/north-campus-map.html

ProgramMonday, January 7
9:30 – 10:30

Mark Grant (University of Aberdeen) 1

10:30 – 10:45

Coﬀee Break

10:45 – 11:45

Justin Michael Curry (SUNY Albany) 1

11:45 – 13:30

Lunch Break

13:30 – 14:00

Dmitry Feichtner-Kozlov (University of Bremen)

Topological Aspects of Robot Motion Planning 1

Refining Persistence via Enriched Topological Summaries 1

Computing Explicit Homology Classes Using Discrete Morse Theory
14:00 – 14:30

Jay Shah (University of Notre Dame)
Algorithmic Canonical Stratifications of Simplicial Complexes

14:30 – 15:00

Coﬀee Break

15:00 – 15:30

Gard Spreemann (École Polytechnique Fédeŕale de Lausanne)

15:30 – 16:00

Jacek Brodzki (University of Southampton)
Topological Analysis of the Chemical Space: Understanding Aqueous Solubility

16:00 – 16:30

Break

16:30 – 17:00

Yuuki Shimizu (Kyoto University)

Homological Clustering and Simplicial Convolutional Neural Networks

Point Vortex Dynamics on Minimal Surfaces
17:00 – 17:30

Michio Yoshiwaki (RIKEN AIP/Kyoto University/Osaka City University)
On Interval Decomposability of 2D Persistence Modules

Tuesday, January 8
9:30 – 10:30

Matthew Kahle (The Ohio State University) 1
Configuration Spaces of Hard Disks in An Infinite Strip

10:30 – 10:45

Coﬀee Break

10:45 – 11:45

Takashi Sakajo (Kyoto University) 1
Classification of 2D Hamiltonian Vector Fields andTopological Flow Data Analysis: Theory, Computation and Applications 1

11:45 – 13:30

Lunch Break

13:30 – 14:00

Arseniy Akopyan (IST Austria)
Waists of Balls in Diﬀerent Spaces

14:00 – 14:30

Emerson G. Escolar (Kyoto University)
Every 1D Persistence Module is a Restriction of Some Indecomposable
2D Persistence Module

14:30 – 15:00

Coﬀee Break

15:00 – 15:30

Kiyotaka Suzaki (Kyushu University)
A limit theorem for persistence diagrams of random complexes built overmarked point processes

15:30 – 16:00

Nicolas Berkouk (INRIA Saclay)
A Derived Isometry Theorem for Constructible Sheaves on R

16:00 – 17:30

Poster Session

Wednesday, January 9
9:30 – 10:30

Peter Bubenik (University of Florida) 1Learning geometry using topology and persistence landscapes

10:30 – 10:45

Coﬀee Break

10:45 – 11:45

Mark Grant (University of Aberdeen) 2
Topological Aspects of Robot Motion Planning 2

18:00 – 20:00 Banquet
Thursday, January 10
9:30 – 10:30

Justin Michael Curry (SUNY Albany) 2
Refining Persistence via Enriched Topological Summaries 2

10:30 – 10:45

Coﬀee Break

10:45 – 11:45

Matthew Kahle (The Ohio State University) 2
Cycles in Random Simplicial Complexes, Large and Small

11:45 – 13:30

Lunch Break

13:30 – 14:00

Ran Levi (University of Aberdeen)

14:00 – 14:30

Takaaki Nara (The University of Tokyo)

Synaptic plasticity through topological methodsLocalization of The Neural Current Source in The Human Brain Basedon a Mapping from a Sphere to the Cortical Surface
14:30 – 15:00

Coﬀee Break

15:00 – 15:30

Marian Mrozek (Jagiellonian University)
Conley Complexes and Connection Matrices in Combinatorial Topological Dynamics

15:30 – 16:00

Mateusz Juda (Jagiellonian University)
Helioseismic and Magnetic Imager Data Classification
using Combinatorial Topological Dynamics

16:00 – 16:30

Break

16:30 – 17:00

Victoria Vedyushkina (Lomonosov Moscow State University)
Integrable Billiards: Generalizations and Applications to Mechanics

17:00 – 17:30

Kelly Spendlove (Rutgers University)

A Computational Framework for Connection Matrix Theory
Friday, January 11
9:30 – 10:30

Takashi Sakajo (Kyoto University) 2
Classification of 2D Hamiltonian Vector Fields andTopological Flow Data Analysis: Theory, Computation and Applications 2

10:30 – 10:45

Coﬀee Break

10:45 – 11:45

Peter Bubenik (University of Florida) 2
Algebraic distances for persistent homology

This workshop is supported by• JST CREST (Yasuaki Hiraoka)• JST PRESTO Grant Number JPMJPR16E3 (Shizuo Kaji)• A3 Foresight (Yasumasa Nishiura)• JST PRESTO Grant Number JPMJPR16ED (Tomoo Yokoyama)• AIMaP: Advanced Innovation powered by Mathematics Platform
Organizing committee:

Local organizers:

Yasuaki Hiraoka (Kyoto University/Riken)

Emerson Escolar (Kyoto University)

Shizuo Kaji (Kyushu University)

Killian Meehan (Kyoto University)

Hiroshi Kokubu (Kyoto University)

Fumiko Ogushi (Kyoto University)

Tomoo Yokoyama (Kyoto University of Education)

Michio Yoshiwaki (RIKEN AIP/Kyoto University/Osaka City University)

List of poster talks
PT-01 Henry Kirveslahti
PT-02 Georg Osang

Sub-image analysis using topologial summary statistics

Analyzing sphere packings with higher order persistence

PT-03 Katharina Oelsboeck
PT-04 Sergey Avvakumov
PT-05 Woojin Kim

Manipulating hole systems
Convex fair partitions into arbitrary number of pieces

Rank invariant for zigzag modules

PT-06 Vladislav A. Kibkalo

Fomenko-Zieschang invariants and topology of Kovalevskaya integrable systems

PT-07 Irina Kharcheva Generalized integrable billiards and Fomenko conjecture.
PT-08 Huy Mai Integral transforms with respect to the Euler characteristic integration
PT-09 Jisu Kim

Persistent homology of KDE filtration on Rips complex

PT-10 Lacombe Théo
PT-11 Dejan Govc

Metrics for persistence diagrams: An optimal transport view

Rips magnitude

PT-12 Oliver Vipond

Multiparameter persistence landscapes

PT-13 Syed Mohamad Sadiq Bin Syed Musa
PT-14 Arturo Espinosa Baro

Early warning signal for floods using persistent homology

Thoughts on sectional category and relative cohomology

PT-15 Nur Fariha Syaqina Zulkepli
PT-16 Fatimah Abdul Razak

Cluster analysis of haze episodes based on topological features

Persistent homology on malaysian data sets

PT-17 Kang-Ju Lee

Simplicial Kirchhoﬀ index

PT-18 Lewis Mead

Large random simplicial complexesPT-19 Yu-Min Chung

Persistence curves: A new vectorization of persistence diagrams

PT-20 Yingying Wu

Comparison theorems of phylogenetic spaces and algebraic fans

PT-21 Akshay Goel

Persistent homology of random Čech complexes on manifolds

PT-22 Killian Meehan

Auslander-Reiten graph distance as a bottleneck metricPT-23 Younng-Jin Kim

Harmonic cycles and rational winding numbers

PT-24 Tatsuya Mikami

Percolation on homology generators in codimension one

PT-25 Jose Gabriel Carrasquel Vera
PT-26 Zbigniew Blaszczyk
PT-27 Teresa Heiss

Sectional category á la Quillen

Topological complexity and eﬃciency of motion planning algorithms

Streaming algorithm for Euler characteristic curves of multidimensional images