Is randomness ever necessary for space-efficient computation? It
is commonly conjectured that L = BPL, meaning that halting decision
algorithms can always be derandomized without increasing their
space complexity by more than a constant factor. In...
The C0 distance on the space of contact forms on a contact
manifold has been studied recently by different authors. It can be
thought of as an analogue for Reeb flows of the Hofer metric on the
space of Hamiltonian diffeomorphisms. In this talk, I...
We used more than 25 million galaxies in the Subaru Hyper
Suprime-Cam (HSC) shear catalog in the redshift range up to z~1.5
to measure weak lensing distortion effects due to large-scale
structures. We used the measured weak lensing signals to...
M- and F-theory compactifications with ADE singularities give
rise to non-abelian ADE gauge symmetries. The physical explanation
for this phenomenon involves M2-branes wrapped on vanishing cycles.
We consider an alternative approach which relies on...
The Higgs mechanism is a part of the Standard Model of quantum
mechanics that allows certain kinds of particles to have nonzero
mass. In spite of its great importance, there is no rigorous proof
that the Higgs mechanism can indeed generate mass in...
Results concerning rigidity of Lagrangian submanifolds lie at
the heart of symplectic topology, and have been intensively studied
since the 1990s. An example for this phenomenon is the concept of
Lagrangian Barriers, a form of symplectic rigidity...
Strong spatial mixing (SSM) is an important and widely studied
quantitative notion of "correlation decay" for a variety of natural
distributions arising in statistical physics, probability theory,
and theoretical computer science. One of the most...
A smooth, oriented n-manifold is called a homotopy sphere if it
is homeomorphic, but not necessarily diffeomorphic, to the standard
n-sphere. In dimensions n>4
, one often studies the group Θn of homotopy spheres up to
orientation-preserving...
