Book your place on our tour starting in the Radcliffe Science Library and going on to the Old Bodleian and Radcliffe Camera. Learn a little about the history of the library and visit locations such as the famous Duke Humfrey's Library. A great opportunity to explore Oxford and meet fellow postdocss.
Editor's note: If you are at a loose end, I'd recommend it as the Duke Humfrey's (pictured) is one of the great places in Oxford.
24 March, 11.00-12.00
''Positive geometries'' are a class of semi-algebraic domains which admit a unique ''canonical form'': a logarithmic form whose residues match the boundary structure of the domain. The study of such geometries is motivated by recent progress in particle physics, where the corresponding canonical forms are interpreted as the integrands of scattering amplitudes. We recast these concepts in the language of mixed Hodge theory, and identify ''genus zero pairs'' of complex algebraic varieties as a natural and general framework for the study of positive geometries and their canonical forms. In this framework, we prove some basic properties of canonical forms which have previously been proved or conjectured in the literature. We give many examples and study in detail the case of arrangements of hyperplanes and convex polytopes.