Upcoming Events
Abstract: Small language models, trained from generated data, can be used as tools for mathematical discovery, either by providing new insights on a problem, or by generating interesting mathematical objects.
This is illustrated in two recent works. Models trained to predict…
The scalar model of flat bands is a simplification of models in condensed matter physics. It allows the study of relevant spectral problems using a 2nd order scalar equation, akin to the Schrödinger equation with the square of dbar on a torus replacing the Laplacian. It displays many features of…
Link Floer homology is a powerful invariant of links due to Ozsváth and Szabó. One of its most striking properties is that it detects each link’s Thurston norm, a result due to Ozsváth and Szabó. In this talk I will discuss generalizations of this result to the context of 4-ended tangles, as…
I will explain a proof of the BCFW triangulation conjecture which states that the cells appearing in the Britto–Cachazo–Feng–Witten (BCFW) recursion triangulate the amplituhedron (in full generality at all loop levels). The key ingredient is a relation to …
Abstract: The correlations between $d(n)$ and $d(n+h)$, where $d(n)$ is the divisor-counting function and $h$ is a possibly varying non-zero integer are a classical topic in analytic number theory, going back to Ingham. It is intimately related to the fourth moment of the Riemann zeta function.…