Algebra Seminar- Joshua Eike from Brandeis University
Regular Languages and Growth in Groups
4:00PM, Mon Apr 23 2018, 250 Math Building
Given a generating set A for a group, we may write any group
element as a product of generators in A. Said another way, group elements
can be expressed as words in the alphabet A, and words in the generators
can be interpreted as elements of the group. This provides a connection
between group theory and formal language theory. Looking at minimal length
words expressing a group element allows us to define a metric on the group.
This gives us a connection to metric geometry. I will discuss a few of the
ways formal language theory, finite state automata, and geometry have been
used to study groups and how this motivated the work I am doing in
collaboration with Abdul Zalloum.
Tenured faculty meeting
4:00PM, Thu Apr 26 2018, 250 Math Bldg.
Angelica Deibel (Brandeis)
4:00PM, Fri May 4 2018, 122 Math
Shizhuo Zhang, Indiana University
4:00PM, Mon May 7 2018, 250 Mathemtics Bldg.
Last Day of Classes
Friday, May 11, 2018
Saturday, May 12, 2018