Under the light of suspended spheres, the QFT wizard dangles groups and their duals over a boiling cauldron of motives. (Drawn by Rok Gregoric)

The goal of this introductory workshop is to showcase some of the recent developments in motives and quantum field theory, with a focus on giving a high-level, but "outsider-friendly" introduction to both subjects. It will feature lectures introducing the modern formalism of sheaf theories, supersymmetric gauge theories, geometric representation theory and motivic spectra.

<p>Calabi–Yau manifold. (Image attribution: Lunch on Wikipedia)</p>

This workshop is on recent developments in representation theory, quantum field theory, and motivic homotopy theory. Contemporary representation theory has been increasingly influenced by the mathematical development of supersymmetric gauge theories and mirror symmetry. Motivic homotopy theory—a version of homotopy theory for algebraic varieties and solutions to polynomial equations—has seen widespread modern applications. This three-day workshop aims to introduce researchers to these fields and their open problems, and to highlight recent progress. The workshop will include research lectures as well as activities to promote interaction and connections between the participants. This workshop is open to all mathematicians.