2017-2018 Academic Year Colloquium Schedule

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(Faculty/Staff Only)

September 7, 2017

Title: Ergodic Theory and Normal Numbers.
Speaker:Drew D. Ash
Adjunct Assistant Professor
Mathematics and Computer Science
Albion College
Albion, Michigan
Abstract: The purpose of this talk is to expose the audience to subfield of dynamical system called ergodic theory. To do so, we will consider the following question. How many numbers in $[0,1)$ are there when we look at their base-10 decimal expansion have the following property: The asymptotic (or expected) frequency of seeing the digit $d$, $d\in\{0,1,\dots,9\}$, is $1/10$? Can you even think of a number that has this property? We will show, using ergodic theory, that a surprising amount of numbers have this property! If time allows, we will discuss another interesting transformation called the Gauss map. The Gauss map has connections with continued fractions!
Location: Palenske 227
Time: 3:30 PM
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September 14, 2017

Title: Planning for Graduate Study in Mathematics and Computer Science
Speaker:David A. Reimann
Professor
Mathematics and Computer Science
Albion College
Albion, Michigan
Abstract: A degree in mathematics or computer science is excellent preparation for graduate school in areas such as mathematics, statistics, computer science, engineering, finance, and law. Come learn about graduate school and options you will have to further your education after graduation.
Location: Palenske 227
Time: 3:30
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September 21, 2017

Title: How to Become An Extremal Graph Theorist
Speaker:Lauren Keough
Assistant Professor
Mathematics
Grand Valley State University
Allendale, Michigan
Abstract: Graph theory is the study of relationships that come in pairs. There are many such relationships occurring naturally, think of matching medical students to residencies, friendship on social networks, or even pairing animals with the regions in which they live. From these relationships we can draw graphs. For example, for each person on a social network draw a dot, and draw a line segment between two dots if the people are "friends". Graph theory is, broadly, the study of these pictures with these dot lines. So, what could extremal graph theory be? Unfortunately extremal graph theory is not doing graph theory while snowboarding. Think of "extremal" more like you may have in Calculus 1 — perhaps you remember finding "local and absolute extrema." By the end of the talk you'll be able to ask and answer extremal questions and perhaps even know a new card trick.
Location: Palenske 227
Time: 3:30 PM
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