Hosted by Academic Affairs Honors Program in collaboration with the College of Sciences.
characterizes the two weight inequality for the Hilbert
transform. This session will be devoted to the martingale methods employed. Joint work with Ignacio
Hosted by: Huy Huynh and Yao Li
electrical charge, and analyticity. The `two weight inequality for the
Hilbert transform' concerns the most general setting in which the Hilbert
transform admits a (weighted) L^2 inequality. We will give a couple of
(surprising?) ways that this question arises. And we will indicate the
surprise that is behind the recent description of all setting in which the
two weight inequality holds.
classical Legendre elliptic curve y^2=x(x-1)(x-t) and show that they
generate a group of large rank. I'll give some basic background,
explain the construction, and discuss related questions which would
make good thesis projects (both MS and PhD).
which characterizes the two weight inequality for the Hilbert
transform. This session will be devoted to necessity of the Poisson A_2 condition and the Energy Condition. Joint work with Ignacio Uriate-Tuero, and
development of graph theory. It was observed by Tutte that the problem of
the face-coloring of an planar graph can be formulated in terms of integer
flows of the graph. Since then the topic of integer flow has been one of the
most attractive in graph theory. Tutte had three famous fascinating flow
conjectures: the 3-flow conjecture, the 4-flow conjecture and the 5-flow
conjecture. There are some partial results for these three conjectures. But
in general, all these 3 conjectures are open.
Group connectivity is a generalization of integer flow of graphs. It
provides us with contractible flow configurations which play an important
role in reducing the graph size for integer flow problems, it is also
related to all generalized Tutte orientations of graphs. In this talk, I
will present an introduction and survey on group connectivity of graphs as
well as some open problems in this field.