Past Events

This will be an introduction to the single- and double-dimer models, which arise in many places in mathematics (including in equivariant localization calculations of enumerative invariants).

What has homological mirror symmetry ever done for you? I will give my personal answer to that question and discuss joint work in progress with Liam Watson and Artem Kotelskiy concerning the behaviour of Khovanov homology under Conway mutation.

After a general overview of some open questions on arboreal Galois representations, we will present some recent work on the positive-characteristic case.

An attempt to explain Langlands' contributions to non-experts.

In this joint work with Xingzhe Li, we prove the strong Morse inequalities for the area functional in the space of embedded tori and spheres in the three sphere. As a consequence, we prove that in the three dimensional sphere with positive Ricci...

We will discuss the well-known isotopy problem in symplectic geometry in dimension four. Given a compact symplectic four manifold with a fixed symplectic class, a long standing problem is to ask whether all symplectic forms in the cohomology class...

Let F(x, y) be a binary form of degree at least 3 which is irreducible over the rationals. For any fixed non-zero integer m, Thue showed that the equation F(x, y) =m has at most finitely many solutions in integers x, y. I will discuss some...

I will describe an approach to constructing a compact moduli space of hyperplane arrangements use logarithmic and tropical geometry.

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