The role of Geometry in Quantum Physics: Foundations and emerging Technologies (26w5587)

The Casa Matemática Oaxaca (CMO) will host the "The role of Geometry in Quantum Physics: Foundations and emerging Technologies" workshop in Oaxaca, from May 3 to May 8, 2026.

Quantum physics has revolutionized humanity’s understanding of the universe, offering groundbreaking insights and introducing new mathematical approaches and fundamental concepts that at times feel straight out of science fiction. Despite remaining an incomplete theory, quantum physics has already led to remarkable applications in areas like quantum information theory, nanoscale physics, and quantum computing. Interestingly, the mathematical frameworks used for these applications also underpin the foundational principles of quantum mechanics. This shared mathematical foundation presents an exciting opportunity for cross-pollination of ideas, which can inspire fresh approaches and innovative breakthroughs.

This workshop brings together both emerging and established researchers working on the theoretical aspects of quantum theory—both its foundational and applied sides. By exploring the common mathematical methods used across these fields, we aim to advance cutting-edge applications while also deepening our understanding of quantum mechanics. We especially encourage researchers, including those in small groups and fast-growing fields, to build international connections and foster collaborations, particularly with researchers in Mexico. With a wide range of topics, from modern to lesser-known mathematical approaches, the workshop will offer participants a rich and diverse perspective, sparking new ideas for future research and collaboration. An Advanced School "Geometry of the Quantum" is also being organized, where introductory tutorials on the topics covered in the workshop will be presented.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF) and Alberta Technology and Innovation. The research station in Oaxaca is funded by UNAM and IIMAS.