The Centre de recherches mathematiques (CRM) was created in 1968 by the Universite de Montreal to promote research in the mathematical sciences. It is now a national institute that hosts several groups and holds special theme years, summer schools, workshops, and a post-doctoral program. The focus of its scientific activities ranges from pure to applied mathematics and includes statistics, theoretical computer science, mathemat- ical methods in biology and life sciences, and mathematical and theoretical physics. The CRM also promotes collaboration be- tween mathematicians and industry. It is...

This collection of lectures draws its topics from field theory, especially gauge field theory, as applied to particle, condensed matter and gravitational physics. Subjects include fractional change, time travel and quantum modifications of symmetry in physical systems.