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## Seminars, Colloquia, and Conferences
Seminars |
## Seminars, Colloquia, and Conferences## ColloquiaThe colloquium meets on ## Fall 2018September 7Zhengwei Liu, Harvard University Title: Quantum Fourier AnalysisAbstract: We first recall some classical
inequalities and uncertainty principles in Fourier analysis. Then we
discuss our recent work on Fourier analysis in various subjects,
including subfactors, planar algebras, Kac algebras, locally compact
quantum groups, modular tensor categories. Moreover, we provide a 2D
picture language to study Fourier analysis. Finally, we discuss some
applications and open questions.September 14No colloquium this week.September 21Christina Sormani, CUNY Title: Abstract: The spacelike universe is curved by gravity
forming deep wells around massive objects. A black hole is formed
when it is curved so strongly that a neck forms and the apparent
horizon is the minimal sphere around that neck. The ADM mass of an
asymptotically flat region in space is measured by the decay of the
curvature near infinity. Shing-Tung Yau and Richard Schoen proved
that in such spaces the ADM mass must be nonnegative, and if the ADM
mass is 0 then the space is flat Euclidean space with no curvature
at all. Here we present recent joint work with Dan Lee, Lan-Hsuan
Huang, and Iva Stavrov proving that in special settings, spaces with
small ADM mass are almost Euclidean space. All students who have
completed vector calculus are welcome to attend.September 28Anna Haensch, Duquesne University Title: 17 Facts About Science Writing That Will Totally
Blow Your MindAbstract: Scientists are always doing research.
Occasionally, they do something catchy and it gets covered by the
mainstream media. I'm going to talk about how that science gets from
the lab bench to the Twitter feed, and trace the evolution of facts
as science becomes journalism and what gets lost and gained along
the way. Next, I'll show you all the ways that math and science
actually show up in mainstream journalism even when the stories have
nothing to do with science! Finally, I'll make the case for
scientific and numerical literacy as a necessary skill for
understanding the news, promoting social justice and participating
in the democratic process.October 5 *NOTE: Talk will be held in Science & Engineering
Complex (SEC), Anderson Room 206*Shing-tung Yau, Harvard University Title: Quasilocal Mass in General Relativity Abstract: I will talk about the problem of defining
conserved quantities in general relativity and explain their
properties.October 12Student Presentations from the Directed Reading Program Eva Sachar (graduate student mentor: Casey Cavanaugh) Title: An Application of Clustering to Socioeconomic DataAbstract: When analyzing socioeconomic data we wish to
uncover its inherent and underlying structure. We will be presenting
a few approaches to clustering and discussing their advantages and
disadvantages when applied to a housing dataset, and see if the
results of clustering on property characteristics and census block
demographics accurately reflect tiering in housing prices.Carter Silvey (graduate student mentor: Matthew Friedrichsen) Title: Fractal GeometryAbstract: Fractals are some of the most beautiful and
mysterious things to come out of mathematics. I’m going to discuss
the geometry behind these fractals, such as how they are created and
their dimensions. Specifically, I will talk about the Middle Third
Cantor Set, Julia Sets, and the Mandelbrot Set as well as some
applications that fractal geometry has in both the realm of
mathematics and the real world.October 19Michael Geline, Northern Illinois University Title: The conjectures of Brauer's block theory, and the
role of integral representationsAbstract: Frobenius's local to global principle for finite
groups asserts that properties of G, related to a prime p, should be
controlled by analogous properties of normalizers of proper
p-subgroups of G. Examples of properties of interest include the
existence of normal subgroups with index p and the existence of
irreducible representations with dimension divisible by a fixed
power of p. Brauer, Alperin, and Broue have given quite a few
specific conjectures of this nature which remain open to the present
day, partly because no one knows whether to expect proofs to depend
on the classification of finite simple groups. I will state several
of these conjectures and summarize how they have influenced my work
on p-adic representations.October 26 Dubi Kelmer, Boston College Title: Shrinking target problems, homogenous dynamics and
Diophantine approximationsAbstract: The shrinking target problem for a dynamical
system tries to answer the question of how fast can a sequence of
targets shrink so that a typical orbit will keep hitting them
indefinitely. I will describe some new and old results on this
problem for flows on homogenous spaces, with various applications to
problems in Diophantine approximations.November 2Daryl DeFord, MIT/Tufts University Title and Abstract TBA November 9Jennifer Balakrishnan, Boston University Title and Abstract TBA November 16Bob Holt, University of Florida Title and Abstract TBA November 30Carolyn Abbott, UC Berkeley Title and Abstract TBA December 7Gianluca Caterina, Endicott College Title: The diagrammatic logic of C.S. Peirce: An approach
via generic figuresAbstract: At the turn of the 20th century, the American
philosopher and logician Charles Sanders Peirce developed a logical
system based on diagrams ("existential graphs") that capture the
essential features of what is currently know as first-order logic.
We will present an introduction to Peirce's work in logic, along
with a tentative model aimed to represent the existential graphs
within a category-theory framework. The talk will be accessible to undergraduates in both Mathematics and Philosophy. |
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