What was your highlight of 2023?
Without doubt, Conrad Shawcross' exhibition of over 40 mathematically inspired artworks has been one of ours, not only attracting visitors to our building who would not otherwise visit a mathematics building, but also inspiring our mathematicians to think about their own field and work. A gallery of art in a gallery of minds.
We present a new formulation of string and particle amplitudes that emerges from simple one-dimensional models. The key is a new way to parametrize the positive part of Teichmüller space. It also builds on the results of Mirzakhani for computing Weil-Petterson volumes. The formulation works at all orders in the perturbation series, including non-planar contributions. The relationship between strings and particles is made manifest as a "tropical limit". The results are well adapted to studying the scattering of large numbers of particles or amplitudes at high loop order. The talk will in part cover results from arXiv:2309.15913, 2311.09284.
