The study of gauge theory and conformal field theory have lead to remarkable advancements in theoretical physics. The first Hamilton school on Mathematical Physics will be held at Trinity College Dublin, Ireland, from the 20th to the 22nd of May, and will focus on modern advancements in gauge theory and conformal field theory, with a particular eye towards providing an interdisciplinary treatment of different subfields in these topics.
The ability to combine ideas from different subfields continues to play an increasingly large role in theoretical physics. For example, modern methods in amplitudes include tools that range from Hopf algebras, to modular forms, to the appearance and use of Yangian symmetries. On the other side of the spectrum, generating functions of topological invariants of various moduli spaces that are computed by gauge and string theoretic methods are also expressed in terms of modular forms and their generalizations. Furthermore, theories like the Seiberg-Witten gauge theory provide another route to integrability. It seems therefore that good parallel understanding of aspects of gauge theory and conformal field theory, integrability and modular forms could be of crucial importance for in the future.