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Research Training Group: Algebraic Geometry and Representation Theory

Algebraic geometry and representation theory are two extremely active fields of mathematics, with deep connections to other areas of mathematics (for example, number theory, topology, and symplectic geometry) and theoretical physics (for example, string theory, conformal field theory, and statistical mechanics). Algebraic geometry studies curves and surfaces defined by polynomial equations and their higher dimensional analogs, while representation theory studies symmetry. The two subjects interact: geometric objects have symmetries and one can use geometry to study symmetry. This Research Training Group project aims to recruit and train young people by engaging them in research in these exciting areas of mathematics.