Previous Conferences & Workshops

We introduce a method for proving lower bounds on the efficacy of semidefinite programming (SDP) relaxations for combinatorial problems. In particular, we show that the cut, TSP, and stable set polytopes on $n$-vertex graphs are not the linear image...

We study dynamical systems in several variables over a complete valued field. If $x$ is a fixed point, we show that in many cases there exist fixed analytic subvarieties through $x$. These cases include all cases in which $x$ is attracting in some...

For this talk I'll discuss uniformization of Riemann surfaces via Kleinian groups. In particular question of conformability by Hasudorff dimension spectrum. I'll discuss and pose some questions which also in particular will imply a conjecture due to...

Higher-order Fourier analysis is a powerful tool that can be used to analyse the densities of linear systems (such as arithmetic progressions) in subsets of Abelian groups. We are interested in the group $\mathbb{F}_p^n$, for fixed $p$ and large $n$...

Finite models of infinite groups/actions/manifolds are useful for studying spectral and $L^2$-invariants, constructing random processes and have recently been used to introduce new invariants of group actions useful for proving nonembedding and...

Following the revolutionary work of Thurston and Perelman, the topology of 3-manifolds is deeply intertwined with their geometry. In particular, hyperbolic geometry, the non-Euclidean geometry of constant negative curvature, plays a central role. In...

Ramsey theory refers to a large body of deep results in mathematics whose underlying philosophy is captured succinctly by the statement that "Every very large system contains a large well-organized subsystem." Ramsey numbers capture how very large...

I will introduce a "low-area" version of Floer cohomology of a non-monotone Lagrangian submanifold and prove that a continuous family of Lagrangian tori in $\mathbb CP^2$, whose Floer cohomology in the usual sense vanishes, is Hamiltonian non...

Finite models of infinite groups/actions/manifolds are useful for studying spectral and $L^2$-invariants, constructing random processes and have recently been used to introduce new invariants of group actions useful for proving nonembedding and...

For a representation of the absolute Galois group of the rationals over a finite field of characteristic $p$, we would like to know if there exists a lift to characteristic zero with nice properties. In particular, we would like it to be geometric...