The fruitful connections between topology and algebra have been leading to fundamental progress in both areas. In particular, the study of algebraic structures using topological methods is a prominent research field linking together various topics. More broadly, this conference concerns both advances in topological algebra and recent interactions of topology with other branches of mathematics, such as category theory, group theory, geometric group theory, topological and algebraic dynamics on topological structures and functional analysis.
In this meeting, we aim to gather together young researchers and leading experts with significant contributions relying on similarly interdisciplinary methods in topology.

The fourth edition of the conference takes place from Wednesday 22nd to Friday 24th of July 2026 online (via Zoom). All the talks are broadcasted live and they will be available to all registered participants.

Invited mini-courses:

• Su Gao (Nankai University, China)
• Lyubomyr Zdomskyy (TU Vienna, Austria)

Main speakers:

• Luna Elliot (University of Manchester, UK)
• Paul Gartside (University of Pittsburgh, USA)
• Ayan Ghosh (Jadavpur University, India)
• Tamás Kátay (UCLA: University of California, Los Angeles, USA)
• Peter Loth (Sacred Heart University, USA)
• Olga Sipacheva (M.V. Lomonosov Moscow State University, Russia)
• Mikhail Tkachenko (Universidad Autónoma Metropolitana, México)
• Vladimir Tkachuk (Universidad Autónoma Metropolitana, México)
• Víctor Hugo Yañez (Nankai University, China)

Organizers:

• Lydia Außenhofer (University of Passau, Germany)
• Serhii Bardyla (University of Vienna, Austria)
• Xabier Domínguez (University of Coruña, Spain)
• Anna Giordano Bruno (University of Udine, Italy)
• Salvador Hernández (Universitat Jaume I de Castelló, Spain)
• Víctor Hugo Yañez (Nankai University, China)