Title: Symmetries of Surfaces

Abstract: There are many ways to study surfaces: topologically, geometrically, dynamically, algebraically, and combinatorially, just to name a few. We will touch on some of the motivation for studying surfaces and their associated mapping class groups, which is the collection of symmetries of a surface. We will also describe a few of the ways that these different perspectives for studying surfaces come together in beautiful and sometimes unexpected ways.

I will speak about the recent paper “Condensable models of set theory” by Ali Enayat. The abstract can be found here: https://arxiv.org/abs/1910.04029

Speaker: Elijah Liflyand (Bar-Ilan University)
Title: A tale of two Hardy spaces

Abstract:
New relations between the Fourier transform of a function of bounded
variation and the Hilbert transform of its derivative are revealed.
If we do not distinguish between the cosine and sine transforms and consider
the general Fourier transform of $f$, direct calculations give the belonging
of the derivative $f’$ to the real Hardy space $H^1$ as a sufficient condition
for the integrability of the Fourier transform. Our analysis is more delicate.
The main result is an asymptotic formula for the {bf cosine} Fourier
transform, while much earlier known results gives an asymptotic formula
for the sine Fourier transform. The difference is achieved by assuming that
the derivative belongs to different subspaces of $H^1$. However, this tale of
each of the two subspaces were impossible if we would not have a new proof
even for the old result. The known proofs used to give strong priority just to
the sine transform. Interrelations of various function spaces are studied
in this context, first of all of these two types of Hardy spaces. The obtained
results are used for proving completely new results on the integrability
of trigonometric series.

Speaker: Nate Brown (Penn State)

Title: Tomorrow’s STEM leaders are diverse

Abstract: Thirty years ago a radical experiment began at the University of Maryland Baltimore County (UMBC). The aim was to prepare undergraduates from underrepresented groups to be successful graduate students in STEM fields. The pillars of the program were unorthodox and the results have been stunning. In this talk I will discuss the Driving Change Initiative, funded by the Howard Hughes Medical Institute, which aims to replicate UMBC’s experiment at research institutions across the country.