## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Friday, October 21, 2022 — 10:30 AM EDT

**Ross Willard, Department of Pure Mathematics, University of Waterloo**

**"Finite axiomatizability problems for finite algebras"**

An enduring problem in universal algebra is this: given a finite algebra, are the identities which are true in the algebra finitely axiomatizable? In this lecture I’ll give one nontrivial example where the answer is “yes” and another where the answer is “no,” to motivate the definition of what we mean by a “strong no” answer to this question. If time, I’ll mention a 45-year-old open problem of Eilenberg and Schutzenberger and its connection to this question.

MC 5403

Event tags

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.