Opening Remarks and Introduction of Biology Session
Avi Wigderson, Herbert H. Maass Professor in the School of
Mathematics
Institute for Advanced Study
The Computational Universe
Leslie Valiant, Harvard University
Many natural and social phenomena may be viewed as inherently
computational; they evolve patterns of information that can be
described algorithmically and studied through computational models
and techniques. This workshop on the computational lens...
In this talk, we study two natural circle actions in Floer theory,
one on symplectic cohomology and one on the Hochschild homology of
the Fukaya category. We show that the geometric open-closed string
map between these two complexes is \(S^1\)...
One of the major themes of the analytic theory of automorphic forms
is the connection between equidistribution and subconvexity. An
early example of this is the famous result of Duke showing the
equidistribution of Heegner points on the modular...
In 1984 Hirzebruch constructed the first examples of smooth
toroidal compactifications of ball quotients with non-nef canonical
divisor. In this talk, I will show that if the dimension is greater
or equal than three then such examples cannot exist...
Let \(Y\) be a smooth rational surface and let \(D\) be an
effective divisor linearly equivalent to \(-K_Y\), such that \(D\)
is a cycle of smooth rational curves. Such pairs \((Y,D)\) arise in
many contexts, for example in the study of...
A folded symplectic form on a manifold is a closed 2-form with the
mildest possible degeneracy along a hypersurface. A special class
of folded symplectic manifolds are the origami manifolds. In the
classical case, toric symplectic manifolds can...
Groups are Gromov-hyperbolic when all geodesic triangles in their
Cayley graphs are close to being tripods. Despite being tree-like
in this manner, they can harbour extreme wildness in their
subgroups. I will describe examples stemming from a re...
