Colloquium Series
Spring 2015
All talks are from 3:454:45 p.m. in the Colloquium Room, unless otherwise specified.

Apr22

TBAProf. Pam HarrisUSMA (West Point)Time: 03:45 PM

Apr01

TBAProf. Sarah DayCollege of William and MaryTime: 03:45 PM

Mar06

Elementary Free Groups and Some Consequences of the Solution to the Tarski ProblemProf. Benjamin FineFairfield UniversityTime: 03:45 PM

Mar06

Tarski problems for free associative algebras and group ringsProf. Alexei MiasnikovStevens Institute of TechnologyTime: 12:00 PM
View Abstract
The classical Tarski problems will be discussed in the class of free associative algebras and group rings over hyperbolic groups.

Mar04

Strong shift equivalence and algebraic KtheoryProf. Mike BoyleUniversity of MarylandTime: 03:45 PM
View Abstract
This will be a colloquium talk, assuming no background in Ktheory. Let R (always assumed to contain 0 and 1) be a subset of a ring. Let A,B be square matrices over R (not necessarily of equal size). A and B over R are elementary strong shift equivalent over R (ESSER) if there exist matrices U,V over R such that A=UV and B=VU. A and B are strong shift equivalent over R (SSER) if they are connected by a chain of elementary strong shift equivalences. If R is a ring, what does it mean for A and B to be strong shift equivalent? This question is motivated by classification problems in symbolic dynamics, as I'll describe, but is natural enough on its own. In his 1973 Annals paper, Williams took the first step, introducing shift equivalence (SE) as an invariant of strong shift equivalence. Whether SE implies SSE for a ring R remained open. It turns out that for a ring R, the refinement of SE by SSE can be nontrivial, and is captured exactly by the algebraic Ktheory group NK_1(R). This is joint work with Scott Schmieding.

Jan21

Special loci for the moduli space of rational mapsLT Brian StoutUSNATime: 03:45 PM