Information
Persistent homology is one of the main methods in topological data analysis, and can analyze the shape of data at multiple scales. It has been applied in many fields, for example in materials science, and also has been used as a preprocessing of data for machine learning. The theory of persistent homology is supported by algebra. In particular, understanding the category of persistence modules is important for multiparameter persistence and exploring issues of stability with respect noise. For further developments, we decided to organize this workshop to explore various interactions between topological data analysis, representation theory, geometry, and machine learning.
Date
Thursday, February 12, 2026 – Friday, February 13, 2026
Venue
Hybrid event
TOKYO ELECTRON House of Creativity 3F, Lecture Theater, Katahira Campus, Tohoku University [Access]
Hosted by
TDA–REPN Steering Committee
Co–hosted by
- Mathematical Science Center for Co–creative Society, Tohoku University
- Tohoku Forum for Creativity, Organization for Research Promotion, Tohoku University
Organizers
Emerson Escolar (Kobe University)
Michio Yoshiwaki (Tohoku University)
Shunsuke Tada (Tohoku University)
Invited Speakers
Justin Desrochers (Université de Sherbrooke)
Ondřej Draganov (Institut National de Recherche en Informatique et en Automatique (Inria))
Bjørnar Gullikstad Hem (École Polytechnique Fédérale de Lausanne(EPFL))
Woojin Kim (Korea Advanced Institute of Science and Technology (KAIST))
Yuya Mizuno (Osaka Metropolitan University)
Kaveh Mousavand (Okinawa Institute of Science and Technology (OIST))
Time Schedule
- Thursday, February 12, 2026
- 09:30 – 10:30
- Woojin Kim (Korea Advanced Institute of Science and Technology (KAIST))
- Interleaving Distance as an Edit Distance
- 10:45 – 11:45
- Ondřej Draganov (Institut National de Recherche en Informatique et en Automatique (Inria))
- TBA
- 13:15 – 14:15
- Emerson Escolar (Kobe University)
- On angle–optimization and simplification of homology representatives
- 14:15 – 15:15
- Coffee break
- 15:15 – 16:15
- Justin Desrochers (Université de Sherbrooke)
- TBA
- 16:45 – 17:45
- TBA
- 18:00
- Social gathering (Conference Dinner)
- Friday, February 13, 2026
- 09:30 – 10:30
- Michio Yoshiwaki (Tohoku University)
- On interval modules in the category of 2–dimensional persistent modules
- 10:45 – 11:45
- Bjørnar Gullikstad Hem (École Polytechnique Fédérale de Lausanne(EPFL))
- TBA
- 13:15 – 14:15
- Yuya Mizuno (Osaka Metropolitan University)
- Tilting theory of preprojective algebras
- 14:15 – 15:15
- Coffee break
- 15:15 – 16:15
- Kaveh Mousavand (Okinawa Institute of Science and Technology(OIST))
- Directedness of indecomposables, bricks, and spread (interval) modules
Supported by
- KAKENHI Grant–in–Aid for Transformative Research Areas (A) grant number 22H05105
- KAKENHI Grant–in–Aid for Scientific Research (C) grant number 24K06872