ICTS:31106

Video URL

Complete monotonicity and dual volumes of positive geometries

Complete monotonicity and dual volumes of positive geometries

(2025). Complete monotonicity and dual volumes of positive geometries. SciVideos. https://youtube.com/live/ayLK1k27Teg

Complete monotonicity and dual volumes of positive geometries. SciVideos, Feb. 21, 2025, https://youtube.com/live/ayLK1k27Teg 

          @misc{ scivideos_ICTS:31106,
            doi = {},
            url = {https://youtube.com/live/ayLK1k27Teg},
            author = {},
            keywords = {},
            language = {en},
            title = {Complete monotonicity and dual volumes of positive geometries},
            publisher = {},
            year = {2025},
            month = {feb},
            note = {ICTS:31106 see, \url{https://scivideos.org/icts-tifr/31106}}
          }
Prashanth Raman
Talk numberICTS:31106
Source RepositoryICTS-TIFR
Collection

Abstract

Positivity properties of scattering amplitudes are typically related to unitarity and causality. However, in some cases positivity properties can also arise from deeper underlying structures. In these lectures, we will discuss infinitely many positivity constraints that certain amplitudes and their derivatives obey called completely monotonicity in the mathematics literature.
In the first lecture, we will discuss completely monotone functions and some of their properties. We shall then show why some objects such scalar Feynman integrals admit this property via integral representations. In the second lecture, we will discuss the connection between complete monotonicity and positive geometries.