Previous Conferences & Workshops

Wiles's proof of the modularity of semistable elliptic curves over the rationals uses the Langlands-Tunnell theorem as a starting point, implying that the mod 3 Galois representation attached to the elliptic curve arises from a modular form of...

From Romyar's AWS notes:

• Section 5.1, especially: Prop 5.1.5, Cor 5.1.9, Rem 5.1.10, Ex 5.1.11

From McCallum-Sharifi:

• Explain why $\mathbb{Q}(37^{1/37})$ has class number prime-to-37 (this is Cor 7.6). It may simplify the proof to use Cor 5...

We introduce a length scale in Plateau’s problem by modeling soap films as liquid with small volume rather than as surfaces, and study the relaxed problem and its relation to minimal surfaces. This is based on joint works with Antonello Scardicchio...

The Ax–Grothendieck theorem from the 1960s says that an injective polynomial $f \colon \mathbb{C}^n \rightarrow \mathbb{C}^n$ is also surjective. It is one of the first examples of the powerful technique in algebraic geometry of using finite fields...

It has been conjectured that a simply-connected complete Kahler manifold of negatively pinched sectional curvature is biholomorphic to a bounded domain in complex Euclidean space. One evidence is that the manifold is Stein, which is, in particular...

One of the most useful tools in quantifying the complexityof a dynamical system are the concepts of topological and metricentropy. While relevant in several contexts, entropy plays aparticularly important role in describing the behaviour of...

Anisotropic surface energies are a natural generalization of the perimeter functional that arise in models in crystallography and in scaling limits for certain probabilistic models on lattices. This talk focuses on two results concerning...

Lorentzian polynomials link continuous convex analysis and discrete convex analysis via tropical geometry. The class of Lorentzian polynomials contains homogeneous stable polynomials as well as volume polynomials of convex bodies and projective...