The aim of this workshop was to survey recent progress on reciprocity laws in arithmetic algebraic geometry, and in the nascent field of arithmetic quantum field theory. Organised in partnership with the Clay Mathematics Institute and the Institute for Data Innovation in Science, the event was also in celebration of the work of Minhyong Kim, who has made pioneering contributions to both subjects. This presented a chance to bring together world class researchers working on reciprocity laws in Diophantine geometry, p-adic Hodge theory, anabelian geometry, Iwasawa theory and the arithmetic and geometric Langlands programmes.
We were grateful for the financial support from the Edinburgh Mathematical Society, European Research Council and National Research Foundation of Korea.
