Mathematics & Computer Science

Seminars and Colloquia

Thursday, December 08, 2016

12:00 pm - 01:00 pm

Class; Math Club Hill

Wesleyans Undergrad Math Club presents: Professor Cameron Hill Very Large Networks In the last few decades, we have found that many of the most interesting structures and phenomena around can be described as networks. Examples of these include the Internet, the human brain, computer processors/chips, and many others. So, a network is a just system of discrete elements with connections/interactions between them. When investigating a very large network (e.g. the human brain has something like a hundred billion neurons), it is infeasible to examine each node individually, and even ``looking at the whole network at once is either impossible or basically meaningless. In this situation, we have to settle for examining either ``global processes on the network (which sort of, kind of, allow calculus to make sense) or random local sampling. These options raise several questions like, ``When can we guarantee that random local sampling is not lying to us? and ``Does random local sampling secretly have something to do with global processes? In this talk, I will make some of this stuff a bit more formal and principled, and I will try to explain how we are beginning to address and settle these questions.

Exley Science Center Tower ESC 141

Thursday, December 08, 2016

04:20 pm - 05:20 pm

Mathematics Colloquium

Moon Duchin, Tufts: Sprawland other geometric statistics Abstract: I'll define a statistic called the "sprawl" of a metric measure space which quantifies the degree of rapid, homogeneous spreading out that is characteristic of trees. Related statistics come up across geometry, in group theory, in category theory, and in applications from biodiversity to gerrymandering. In this talk I'll spend some time on examples from convex geometry and will try to get to voting applications by the end.

Exley Science Center Tower ESC 121