Group theory

…topology, differential geometry, group theory and theoretical physics. The programme considers major recent results alongside unresolved questions, including smooth four-dimensional topology, surgery, L-spaces and the effectiveness of geometrisation. It brings international experts together with Indian researchers and doctoral students. Participants should already know basic algebraic topology, differential geometry and low-dimensional topology. The programme is organized in partnership with the Cl

…analysis needs only a small amount of group theory. The lecture explains their expansion properties and shows how these constructions can lead to stronger objects, including super-expanders and non-sofic groups with property (T).

…result involving symmetries and group theory. The conversation explores the mathematical result, how family relationships shaped the collaboration, and the participants’ routes into mathematical research at the Isaac Newton Institute.

Justin Chen introduces groups as collections of actions and explains their relationship to symmetry. The discussion uses accessible examples to show the power of abstraction, then considers the challenges of explaining group theory to non-specialists. Chen also reflects on his experience communicating mathematics and his plans for further study.