Math table September 4, 2018

The first Math Table will be held in the Science Center
on Tuesday, September 4, on the second floor in room 232.
There will be an overview of the fall tutorial and a talk
given by Prof. Cliff Taubes. The first talk will begin at 5:00 p.m.
Gabe Goldberg, Harvard University, will be giving an overview of the
fall 2018 tutorial titled:
Infinite Combinatorics
Description: Infinite combinatorics is the study of infinite trees,
graphs, partitions, and more generally the infinite generalizations
of the objects that arise in finite combinatorics. Compared with
their finite counterparts, these structures present problems of a very
different nature, which are often impossible to solve without resorting to
hypotheses beyond the usual axioms of mathematics and therefore involve
deep interactions with the foundations of mathematics. This course will
survey several problems in infinite combinatorics and the set theoretic
hypotheses that arise in their solutions.
Possible topics: are Erdös's partition calculus, the nonstationary
ideal, ultrafilters, Suslin's problem, the Singular Cardinals Problem,
large cardinal axioms, the Continuum Hypothesis, Martin's Axiom, the
Axiom of Determinacy.
Prof. Cliff Taubes, Harvard University, will give a talk titled:
The mysteries of 4dimensions.
Abstract: The classification of spaces of dimensions 13 and 5# is
well understood. Dimension 4 is not understood. In fact, there are
no compelling conjectures as to what the answer should be. I hope to
explain some of this in the talk.
Prof. Taubes will be available after the talks to sign students up for
the fall tutorial.

Caption: Cliff Taubes giving a mathtable talk in 2000