[Binghamton Geometry/Topology Seminar] Remaining Talks (today and tomorrow)
Lucas Sabalka
sabalka at math.binghamton.edu
Thu Mar 31 11:50:32 EDT 2011
BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR
The room for the third talk of the week has been finalized: LN-2201. See
also the abstract below.
*Date:* *Wednesday*, March 30, 2011
*Time:* *3:30-4:30pm*
*Place:* Library North 2205 preceded by coffee/tea in the Anderson Reading
Room.
*Speaker:* Collin Bleak (St. Andrews)
*Title:* Minimal nonsolvable subgroups of F
*Abstract:* In previous work, we showed that every non-solvable subgroup of
F contains a copy of a particular, countably generated (and not finitely
generated!) non-solvable subgroup W. In turn, W contains copies of every
solvable subgroup of F. In this talk, we consider what happens for finitely
generated non-solvable subgroups of F. We show that a particular,
2-generated, non-solvable group B (as in, `Brin's group B') has the property
that every finitely generated non-solvable subgroup of F has a copy of B
within it.
*
Date:* Thursday, March 31, 2011
*Time:* 2:50-3:50pm
*Place:* Library North 2205 followed by coffee/tea in the Anderson Reading
Room.
*Speaker:* Chris Cashen (U Utah)
*Title:* Line Patterns in Free Groups
*Abstract:* Consider a collection of closed curves in a finite graph. The
universal cover of the graph is a tree, and the lifts of the closed curves
make a pattern of lines in this tree. I will discuss when it is possible to
match up two such line patterns with a quasi-isometriy of the tree.
*
Date:* *Friday*, April 1, 2011
*Time:* *3:30-4:30pm*
*Place:* Library North 2201 preceded by coffee/tea in the Anderson Reading
Room.
*Speaker:* Collin Bleak (St. Andrews)
*Title:* On the Automorphisms of Thompson's Group V_n
*Abstract:* We use a theorem of Grigorchuk and Nekrashevych, and some
automata theory (and if desired, even some basic analysis) to show that the
outer automorphism group of the generalized Thompson group V_n is S_n, the
symmetric group on n letters. We also describe some likely consequences of
this result. Joint with Lanoue, Maissel, and Navas.
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