Coherent group actions on the real line or an interval
Event details
| Date | 03.05.2018 |
| Hour | 13:00 › 14:00 |
| Speaker | Yash Lodha |
| Location | |
| Category | Conferences - Seminars |
The subgroup structure of Thompson's group F is quite mysterious
and several recent papers (for instance those of Golan, Sapir and Brin, Bleak, Moore)
have been devoted to developing a systematic structure theory of subgroups of F.
One related prominent result is due to Vaughan Jones,
who showed that a specific subgroup of F encodes all oriented knots in a natural manner.
In this talk I will introduce a class of actions on the real line or an interval,
which provides a systematic framework for proving non embeddability results
for Thompson's group F and generalisations.
The class of actions (and the underlying class of groups which admit such actions)
is interesting even for its own sake, and one can draw
certain algebraic conclusions, and some concerning rigidity of the action,
from a fairly simple set of dynamical axioms.
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