We ask the question, “how does the infinite q-Pochhammer symbol
transform under modular transformations?” and connect the answer to
that question to the Stark conjectures. The infinite q-Pochhammer
symbol transforms by a generalized factor of...
I will discuss infinite-dimensional linear programs producing
bounds on the spectral gap in various settings. This includes new
bounds on the spectral gap of hyperbolic manifolds as well as the
Cohn+Elkies bound on the density of sphere packings...
