There are strong indications from physics at infinitesimal and cosmic distances that our current understanding of the laws of nature is only approximate. Novel geometric objects recently discovered in particle physics and cosmology have opened up entirely unexpected connections to combinatorics, algebra and geometry.
In the last decades researchers have uncovered tremendous insights into the structure of perturbative on-shell scattering amplitudes. This includes unitarity methods, recursion relations, worldsheet models, bootstrap methods and more recently an intriguing connection to positive geometry, which includes the positive Grassmannian, the Associahedron and the Amplituhedron. These advances bring us closer to reformulating the perturbative S-matrix via a completely new set of principles.
At the same time, positive geometry is also seen to be relevant to cosmological correlators, which are fundamental objects capturing the physics of our Universe. While some progress has been made bridging these two fields, we are still at the beginning of this road.
The workshop brings together experts from scattering amplitudes, mathematics, and cosmology to develop these novel connections.
N. ARKANI-HAMED, IAS Princeton
J. J. CARRASCO, Northwestern
M. CARRILLO-GONZALEZ, Imperial College, London
H. HANNESDOTTIR, IAS Princeton
K. KAMPF, Charles University in Prague
A. LIPSTEIN, Durham University
E. PAJER, University of Cambridge
S. PARANJAPE, University of California, Davis
G. PIMENTEL, Scuola Normale Superiore, Pisa
A. PUHM, Ecole Polytechnique
S. RAJU, International Centre for Theoretical Sciences, Bengaluru
L. SENATORE, ETH Zurich
Call for Contributed Abstracts: All applicants are encouraged to submit an abstract for a poster presentation and/or a contributed talk. Abstract templates are available below for download.
Grants: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.
This workshop receives funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Novel structures in scattering amplitudes, grant agreement No 725110).