Previous Conferences & Workshops

I will discuss some current joint work with Helmut Hofer, in which we define and establish properties of a new class of pseudoholomorhic curves (feral J-curves) to study certain divergence free flows in dimension three. In particular, we show that...

The goal is to describe how techniques from symplectic dynamics can be used to study orbit travel in three dimensions, for systems like the restricted 3-body problem from celestial mechanics. The pseudo-holomorphic curve theory initiated by Hofer...

We show that, as a consequence of a remarkable new result of Attila P\'or on universal Tverberg partitions, any large-enough set $P$ of points in $\Re^d$ has a $(d+2)$-sized subset whose Radon point has half-space depth at least $c_d \cdot |P|$...

We consider a system of two interacting one-dimensional quasiperiodic particles as an operator on $\ell^2(\mathbb Z^2)$. The fact that particle frequencies are identical, implies a new effect compared to generic 2D potentials: the presence of large...

The thesis of Akshay Venkatesh obtains a Beyond Endoscopy'' proof of stable functorial transfer from tori to ${\rm SL}(2)$, by means of the Kuznetsov formula. In this talk, I will show that there is a local statement that underlies this work; namely...

Forthcoming work of Sharifi-Venkatesh.

I will discuss some new results for gradient field models with uniformly convex potentials. A connection between the scaling limit of the field and elliptic homogenization was introduced more than twenty years ago by Naddaf and Spencer. In joint...