| **Workshop: Positive Geometry in Particle Physics and Cosmology***Date:* 12.02.2024 - 16.02.2024*Location:* Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, Leipzig (Germany)*Organized by:* Johannes Henn, Bernd Sturmfels*More information:* See the homepage of the Workshop*Contact:* Mirke Olschewski This is the kick-off workshop for the ERC-synergy project with the same title which starts in June 2024. Lectures and discussions will explore novel mathematical structures in fundamental physics, ranging from elementary particles to the Big Bang, and revealing hidden principles beyond quantum mechanics and spacetime. We will focus on positive geometries, such as amplituhedron, and their recent applications to scattering amplitudes and cosmology. The program of the week will begin with plenary presentations by international experts, and it will conclude with shorter research talks, informal discussions, and intense working groups. To foster interactions with Leipzig University, Daniel Baumann (University of Amsterdam) will give the Physics Colloquium on Tuesday, and Nima Arkani-Hamed (IAS Princeton) will give the Felix-Klein Colloquium on Wednesday.
Limited travel funding can be provided for early-career participants such as postdoctoral researchers and PhD students. Applicants are expected to submit a brief academic CV and a motivation letter. The application for funding is included in the registration form.
**The deadline for registering will be December 15, 2023.** |

| **Conference: Combinatorial Algebraic Geometry from Physics***Date:* 13.05.2024 - 17.05.2024*Location:* Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, Leipzig (Germany)*Organized by:* Dmitrii Pavlov, Bernd Sturmfels, Simon Telen*More information:* See the homepage of the Conference*Contact:* Mirke Olschewski This one-week course offers an introduction to recent advances in combinatorics and algebraic geometry that were inspired by particle physics. How can quantum field theory help with enumerating graphs? How does scattering of elementary particles lead to the study of semialgebraic subsets of configuration spaces? We will learn about these questions and more in the following two lecture series.
**Michael Borinsky: Counting graphs using quantum field theory**
Quantum field theory is surprisingly effective at describing various interesting algebraic-geometric and topological invariants. In this lecture series, we will examine this fascinating connection between physics and mathematics by focusing on simple topologies: graphs. The quantum field theory framework allows us to solve numerous interesting graph counting problems, many inaccessible using traditional methods. I will introduce this elegant combinatorial framework focusing on asymptotic graph enumeration. We will discuss applications in topology and, if time permits, statistical mechanics and complex networks.
**Thomas Lam: Moduli spaces in positive geometry**
Recent developments in the physics of scattering amplitudes has led to the new field of positive geometry. We will discuss positive geometries appearing in projective space, Grassmannians, moduli spaces of rational curves, and various configuration spaces. The focus of the lecture series will be on the algebro-geometric aspects of positive geometries, together with hints of the relations to phi^3-amplitudes, super Yang-Mills amplitudes, and string theory amplitudes.
Limited travel funding can be provided for early-career participants such as postdoctoral researchers and PhD students. Applicants are expected to submit a brief academic CV and a motivation letter. The application for funding is included in the registration form.
**The deadline for registering will be February 29, 2024.** |