Previous Conferences & Workshops
Distribution of the integral points on quadrics
Motivated by questions in computer science, we consider the
problem of approximating local points (real or p-adic points) on
the unit sphere S^d optimally by the projection of the integral
points lying on R*S^d, where R^2 is an integer. We present...
Celestial Mechanics and Holomorphic Curves II
Umberto Hryniewicz
1:30pm|Simonyi Hall Classroom 114
I would like to discuss three topics concerning applications of
holomorphic curve methods to the planar circular restricted
three-body problem. The first is the existence of direct orbits and
a conjecture due to Birkhoff. The second is the use of...
Bounds in Renormalized Volume for Hyperbolic 3-manifolds
Franco Vargas Pallete
Renormalized volume (and more generally W-volume) is a geometric
quantity found by volume regularization. In this talk I'll describe
its properties for hyperbolic 3-manifolds, as well as discuss
techniques to prove optimality results.
Barcodes and $C^0$ symplectic topology
Hamiltonian homeomorphisms are those homeomorphisms of a
symplectic manifold which can be written as uniform limits of
Hamiltonian diffeomorphisms. One difficulty in studying Hamiltonian
homeomorphisms (particularly in dimensions greater than two)...
Two questions of Landis and their applications
We discuss two old questions of Landis concerning behavior of
solutions of second order elliptic equations. The first one is on
propagation of smallness for solutions from sets of positive
measure, we answer this question and as a corollary prove an...
Nearby cycles over general bases and duality
Weizhe Zheng
Over one-dimensional bases, Gabber and Beilinson proved theorems
on the commutation of the nearby cycle functor and the vanishing
cycle functor with duality. In this talk, I will explain a way to
unify the two theorems, confirming a prediction of...
