Previous Conferences & Workshops

We study the control of a linear dynamical system with adversarial disturbances (as opposed to statistical noise). The objective we consider is one of regret: we desire an online control procedure that can do nearly as well as that of a procedure...

A set of n players, each holding a private input bit, communicate over a noisy broadcast channel. Their mutual goal is for all players to learn all inputs. At each round one of the players broadcasts a bit to all the other players, and the bit...

I will explain a new proof of the geometric stabilization theorem for Hitchin fibers, a key ingredient in Ngô's proof of the fundamental lemma. Our approach relies on ideas of Denef-Loeser and Batyrev on p-adic integration and Langlands duality for...

We will motivative the conjectures of Kobayashi, Lang, and Yau on various characterizations of positive canonical bundle over a projective manifold. Then we will provide a purely analytic proof of Yau's conjecture that if the manifold has negative...

The PCP Theorem states that any mathematical proof can be encoded in a way that allows verifying it probabilistically while reading only a small number of bits of the (new) proof. This result has several applications in Theoretical Computer Science...

For an immersed minimal surface in $R^3$, we show that there exists a lower bound on its Morse index that depends on the genus and number of ends, counting multiplicity. This improves, in several ways, an estimate we previously obtained bounding the...

I will show that a closed, negatively curved Riemannian manifold of 1/4 pinched negative curvature has constant negative curvature if and only if the Lyapunov spectrum of its geodesic flow is the same as that of a hyperbolic manifold. The Lyapunov...