Past Events

The last decade has witnessed tremendous experimental progress in the study of "Floquet media", crystalline materials whose properties are altered by time-periodic parametric forcing. Theoretical advancements, however, have so far been achieved...

In the groundbreaking paper in 1948 "a mathematical theory of communication", Shannon provided a mathematical foundation for the concept of information and subsequently established the fundamental constraints on storing and transmitting information...

We say that two smooth 4-manifolds are exotic if they are homemorphic but not diffeomorphic. Wall's theorem, proven in 1964, says that when the given 4-manifolds are simply-connected, they are always diffeomorphic after sufficiently many...

Systems of interacting particles describing notable physical phenomena, such as Bose-Einstein condensation, superconductivity or superfluidity, exhibit a daunting complexity. This complexity renders the exact many-body theory computationally non...

We consider metric tensors on undirected weighted graphs G, which allows us to treat P(G), the set of probability vectors on G, as a length space. On defines a divergence operator div_\mu(G) for mu in P(G), in such a way that we can use control...

Topological insulators are novel materials which are on the one hand insulators in their bulk, yet on the other hand excellent conductors along their edge. This distinguished property, and many more, are explained via the rich topological structure...

Pure mathematics and theoretical physics have a long history of mutual influence and cross-pollination. In recent times, many exciting developments have to do with the effort to better understand quantum field theory. From the physicist's perspective...

The advent of topological materials, a form of physical matter with unusual but useful properties, has brought with it unexpected new connections between pure mathematics on the one side and physics, chemistry, and material science on the other side...

Extremal graph theory studies the question of how dense a graph (or hypergraph) can globally be while still avoiding a given local structure. This global-to-local theme is also a key feature of the field of property testing, which deals with the...

Primitive integral Apollonian circle packings are fractal arrangements of tangent circles with integer curvatures. The curvatures form an orbit of a 'thin group,' a subgroup of an arithmetic group having infinite index in its Zariski closure. The...