We consider the problem of defining cylindrical contact
homology, in the absence of contractible Reeb orbits, using
"classical" methods. The main technical difficulty is failure of
transversality of multiply covered cylinders. One can fix
this...
I will begin with a brief introduction to the deformation theory
of Galois representations and its role in modularity lifting. This
will motivate the study of local deformation rings and more
specifically flat deformation rings. I will then discuss...
We develop spectral theory for the generator of the q-Boson
particle system. Our central result is a Plancherel type
isomorphism theorem for this system; it implies completeness of the
Bethe ansatz in infinite volume and enables us to solve
forward...
In the early 1960's Dyson and Mehta found that the CSE relates
to the COE. I'll discuss generalizations as well as other settings
in random matrix theory in which β relates to 4/β.
An isolated quantum many-body system may be a reservoir that
thermalizes its constituents. I will explore an example of the
interplay of this thermalization and spontaneous symmetry-breaking,
in the ferromagnetic phase of an infinite-range quantum...
Motivated by questions in Social Choice Theory I will consider
the following extremal problem in Combinatorial Geometry. Call a
sequence of vectors of length n with −1, 1 entries feasible if it
contains a subset whose sum is positive in more than n...
The goal of (general-purpose) program obfuscation is to make an
arbitrary computer program "unintelligible" while preserving its
functionality. The problem of program obfuscation is well studied
both in theory and in practice. Though despite its...
The Edward T. Cone Concert Series season opened on Friday
October 11 with Sight and Sound, featuring the celebrated
Cassatt String Quartet. The program included a new work by Bruce
Adolphe based on the life and paintings of Impressionist
painter...