Oct

29

Tue

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.

Oct

30

Wed

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

Nov

27

Wed

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.

Dec

6

Fri

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.

## University of Hawaiʻi at Mānoa