In 2026 we celebrate the 50th anniversary of the Bogomol’nyi equations in three-dimensional gauge theory with a two-week ICTS program dedicated to the study of moduli spaces of monopoles and its many ramifications. This topic has been the focal point of a fertile exchange of ideas between physicists and mathematicians, generating major breakthroughs involving gauge theory, symplectic and complex geometry, integrable systems, supersymmetry, and dualities in quantum field theory. Recent years have seen exciting advances that have contributed new perspectives on the subject, and the program is aimed at the consolidation, dissemination and further progress of these developments.
In the first week, five minicourses (4 lectures each) will provide useful background on magnetic monopoles as well as cutting-edge perspectives on the subject:
- Gravitational instantons from monopole moduli spaces (Sergey Cherkis [TBC], University of Arizona, USA)
- Berry phases in supersymmetric QFT, periodic monopoles and generalised cohomology (Andrea Ferrari, DESY, Germany)
- Hypertoric geometry of Coulomb branches (Lorenzo Foscolo, University of Rome I “La Sapienza”, Italy)
- L2 geometry of hyperbolic monopole moduli (Derek Harland, University of Leeds, UK)
- Analytical aspects of monopole moduli spaces (Chris Kottke, Reed College, USA)
The second week will be dedicated to research talks, thematic discussions as well as some more pedagogical “keynote lectures” to round off the program.
ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.
APPLICATION DEADLINE: TBD
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