Home /  DMS Postdoc Seminar: Splittings, suspension flows, and polynomials for free-by-cyclic groups

Seminar

DMS Postdoc Seminar: Splittings, suspension flows, and polynomials for free-by-cyclic groups February 27, 2015 (10:45 AM PST - 11:30 AM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium
Speaker(s) Spencer Dowdall (Vanderbilt University)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

The semi-direct product of a finite-rank free group with the integers can often be expressed as such a product in infinitely many ways. This talk will explore this phenomenon and work towards 1) describing the structure of the family of such splittings of a given group, and 2) looking for for relationships between the splittings themselves. Along the way, we'll study dynamical systems ranging from graph maps and cross sections of semi-flows to newly introduced polynomial invariants tying these all together. Time permitting, I'll discuss geometric properties of more general free group extensions. This represents work with Ilya Kapovich and Christopher Leininger, and separately with Samuel Taylor.

No Notes/Supplements Uploaded No Video Files Uploaded