## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Wednesday, November 26, 2014 — 2:30 PM EST

Higher category theory and higher groupoids are intimately connected, and at a minimum, the importance of this point of view is that n-categories allow us to avoid mistaking isomorphism for equality. Using certain simplicial sets with desirable properties, I will introduce the geometric definition of higher categories, and show how the choice of horn-fillers turns this geometric notion into an algebraic definition of ω groupoids. I will then develop the notion of a weak ω category as an algebra X for a contractible, normalized, globular operad P, and develop the notion of equivalence from this point of view, one can recover the notion of a weak ω groupoid using dual constructions.

Location

MC - Mathematics & Computer Building

5046

200 University Avenue West

Waterloo, ON N2L 3G1

Canada

200 University Avenue West

Waterloo, ON N2L 3G1

Canada

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

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