Knot Concordance and 4-manifolds

Seminar: 
Colloquium
Event time: 
Wednesday, February 17, 2021 - 4:15pm
Speaker: 
Lisa Piccirillo
Speaker affiliation: 
MIT
Event description: 

There is a rich interplay between the fields of knot theory and 3- and 4-manifold topology. In this talk, I will describe a weak notion of equivalence for knots called concordance, and highlight some historical and recent connections between knot concordance and the study of 4-manifolds, with a particular emphasis on applications of knot concordance to the construction and detection of small 4-manifolds which admit multiple smooth structures.

Research Area(s):