Samuel Taylor
Temple University
February 12, 2019 (Tues.)
12:30 – 1:20 pm
SCP 229
Growth in groups via linear algebra
Abstract:
Finite groups are often studied using basic combinatorics and number theory, as in a first course in Abstract Algebra. For infinite groups, however, many of these techniques are unavailable. Since so many infinite groups play an important role in geometry and topology, different methods need to be developed for their study.
In this talk, I’ll introduce the growth of a group, which is perhaps the most basic notation of `size’ when the group is infinite. As we shall see, for certain classes of groups, growth can be studied using properties of directed graphs and basic linear algebra. We will assume no prerequisites beyond the definition of a group.
Speaker Bio:
After graduating from TCNJ in 2009, Sam went to the University of Texas at Austin where he studied geometric topology under the direction of Alan Reid. In 2014, he earned his PhD and became an NSF postdoctoral fellow and Gibbs Assistant Professor at Yale University. Since 2017, Sam has been an Assistant Professor at Temple University. He lives in Philadelphia with his wife Marygrace, son Eli, and dog Charlie.