The Math Department Colloquia are a series of talks intended for a general audience. Everyone is encouraged to attend and the talks are directed at people who have a reasonable comprehension of the topics in undergraduate mathematics. Come meet our undergraduates, graduate students and faculty as well as our distinguished guest speakers.
For this fall, our colloquia are likely to be Monday afternoons at 3pm or Thursdays at 3pm.
For last year's colloquia, you can see the schedule here.
Math Colloq
Dr. Steve Chiappari, from the Santa Clara University Department of Mathematics will be talking about ``Dividing Polygons by Lines''.
Given a polygon, one may divide its interior into subregions by line segments emanating from vertices and passing through a point interior to a side. In this talk we discuss two related problems concerning the maximal number of such subregions possible under various conditions. In each case we produce a polygon with the maximal number of subregions.
This video documentary film covers some of the history and flavor of Andrew Wiles proof of the famous conjecture known as Fermat's Last Theorem. Many mathematicians in the last 350 years have tried to prove or disprove Fermat's last theorem, which is that x^n+y^n=z^n has no positive integer solutions for n>2. Pierre de Fermat stated this as a theorem but did not provided a proof and the simplicity and history of the problem has attracted attention for the following 350 years. The video is not a technical descripition of the proof itself, which is very complex, but instead describes some of the personalities, interactions and emotions felt by those involved in completing the proof. See the Nova website for more info. Free popcorn and soda!
Joint Math/Physics Colloq
Wolfgang Fritzsche, will be speaking on "Science after the Wall". Dr. Fritzsche is from what used to be East Germany and will be speaking about some aspects of the changes German reunification has had on science there.
Dr. Glenn Appleby, from the Santa Clara University Department of Mathematics will be talking about continued fractions.
Abstract: I will describe a not-often-enough studied branch of mathematics called Continued Fraction representations of numbers. This is a different way of writing down real numbers that is similar to, but distinct from, decimal expansions. We will use these representations to study what sort of numbers are out there and how we can tell them apart.
Dr. Janko Gravner
from the UC Davis Department
of Mathematics
will be speaking about:
Simple Growth Models: Regularity, Nucleation and Competition
Time: 3:10pm Room: Science 143
Abstract:
This talk will address a few simple growth rules on the two-dimensional integer grid. The basic premise of a growth rule is that one starts with a set of occupied points, then enlarges the occupied set in discrete steps. Regularity questions deal with ability of such dynamics to fill in the available space and reach an asymptotic shape, nucleation theory studies the smallest initial sets which generate persistent growth, while competitive issues are connected with divisions of space induced by multi-colored rules.
Here are some pictures associated with various growth rules for cellular automata on a planar grid, from Dr. Gravner's webpage: