Previous Conferences & Workshops

Organizers: Nima Arkani-Hamed, June Huh, Thomas Lam, and Bernd Sturmfels

This event aimed to foster collaboration between mathematicians and physicists. The focus was on the intersection of combinatorial geometry and fundamental physics, covering...

Kazhdan-Lusztig theory provides a pattern of applying tools of algebraic geometry,
such as the theory of Frobenius or Hodge weights, to numerical problems of representation theory.
These techniques have been used in representation theory over a field...

Tree decompositions, and in particular path decompositions, are a powerful tool in both structural graph theory and graph algorithms. Many hard problems become tractable if the input graph is known to have a tree decomposition of bounded “width”...

Organizers: Nima Arkani-Hamed, June Huh, Thomas Lam, and Bernd Sturmfels

This event aimed to foster collaboration between mathematicians and physicists. The focus was on the intersection of combinatorial geometry and fundamental physics, covering...

We prove an effective equidistribution theorem for semisimple
closed orbits on compact adelic quotients. The obtained error depends
polynomially on the minimal complexity of intermediate orbits and the
complexity of the ambient space. As an application...

The theme of the third lecture is the notion of points over F1, the field with one element. Several heuristic computations led to certain expectations on the set of F1-points: for example the Euler characteristic of a smooth projective complex...

The second lecture features the nuts and bolts of the invariants from first lecture, which we call foundations. We explain the structure theorem for foundations of ternary matroids, which is rooted in Tutte's homotopy theorem. We show how this...

The Ricci curvature of a Riemannian manifold is best viewed as the right replacement for the (nonlinear) laplacian of the metric g, which in particular explains why it so often appears in geometry and analysis.  Most commonly one studies either...