# Past Events

A recent work by Mazzeo-Swoboda-Weiss-Witt describes a stratum of the frontier of the space of SL(2,C) surface group representations in terms of 'limiting configurations' which solve a degenerated version of Hitchin's equations on a Riemann surface. We interpret these objects in (a mapping…

Motion planning algorithms allow autonomous functioning of mechanical systems (robots). I will discuss purely topological problems inspired by the motion planning problem of robotics and will survey some recent results. In particular, I will describe properties of motion planning algorithms in…

A classical problem in contact geometry asks us to classify the symplectic manifolds which fill a given contact manifold. For virtually overtwisted torus bundles over S^1, we use Menke's JSJ-type decomposition to reduce this classification to the same problem for lens spaces. This leads to a…

A Richardson variety is an intersection of two Schubert varieties defined by transverse flags in a vector space. Richardson varieties have many nice geometric properties; for example, a theorem of Knutson, Woo, and Yong shows that their singularities are completely determined by those of…

The Hilbert scheme parameterizing n points on a K3 surface X is a holomorphic symplectic manifold with rich properties. In the 90s it was discovered that the generating function for the Euler characteristics of the Hilbert schemes is related to both modular forms and the enumerative geometry of…

The uniformization theorem, dating back to the 19th century, provides a classification of surfaces up to conformal equivalence. Classical proofs rely on harmonic analysis techniques, but with the advent of Ricci flow, spicy new proofs have been created. In this talk we’ll introduce the…