In FT-mollification, one smooths a function while maintaining
good quantitative control on high-order derivatives. I will
describe this approach and show how it can be used to show that
bounded independence fools polynomial threshold functions...
A classical theorem in Euclidean geometry asserts that if a set
of points has the property that every line through two of them
contains a third point, then they must all be on the same line. We
prove several approximate versions of this theorem...
Complexity theory, with some notable exceptions, typically
studies the complexity of computing a function h(x) of a *given*
input x. We advocate the study of the complexity of generating --
or sampling -- the output distribution h(x) for random x...
Let X a curve over F_q and G a semi-simple simply-connected
group. The initial observation is that the conjecture of Weil's
which says that the volume of the adelic quotient of G with respect
to the Tamagawa measure equals 1, is equivalent to the...
This is a series of 3 talks on the topology of Stein manifolds,
based on work of Eliashberg since the early 1990ies. More
specifically, I wish to explain to what extent Stein structures are
flexible, i.e. obey an h-principle. After providing some...
