Relative symplectic cohomology, an invariant of subsets in a
symplectic manifold, was recently introduced by Varolgunes. In this
talk, I will present a generalization of this invariant to pairs of
subsets, which shares similar properties with the...
The well-known Zig-Zag product and related graph operators, like
derandomized squaring, are fundamentally combinatorial in nature.
Classical bounds on their behavior often rely on a mix of
combinatorics and linear algebra. However, these traditional...
Eisenstein proved, in 1852, that if a function f(z) is
algebraic, then its Taylor expansion at a point has coefficients
lying in some finitely-generated Z-algebra. I will explain ongoing
joint work with Josh Lam which studies the extent to which
the...
I will discuss some well-known and less-known papers of Turing,
exemplify the scope of deep, prescient ideas he put forth, and
mention follow-up work on these by the Theoretical CS
community.
The well-known Zig-Zag product and related graph operators, like
derandomized squaring, are fundamentally combinatorial in nature.
Classical bounds on their behavior often rely on a mix of
combinatorics and linear algebra. However, these traditional...
Given a path-connected topological space X, a differential
graded (DG) local system (or derived local system) is a module over
the DGA of chains on the based loop space of X. I will explain how
to define in the symplectically aspherical case...
In the third talk, I will concentrate on inequalities for linear
extensionsof finite posets. I will start with several
inequalities which do have a combinatorial proof. I will then
turn to Stanley's inequality and outline the proof why its
defect...
The Arithmetic Quantum Unique Ergodicity (AQUE) conjecture
predicts that the L2 mass of Hecke-Maass cusp forms on an
arithmetic hyperbolic manifold becomes equidistributed as the
Laplace eigenvalue grows. If the underlying manifold is
non-compact...
