Skip to main content
Browse by:

Until further notice, in-person public events have been canceled. This includes recruitment events, tours, student programs, reunions, performances, conferences and social events.
Event listings include how to access online content. Contact event sponsor with questions.
Please note that all visitors to campus must comply with Duke’s community safety measures, which include wearing a mask,
check before coming to campus, and follow direction provided by campus personnel.

Knot concordance and 4-manifolds

Frontiers in Mathematics Colloquium Lisa Piccirillo
Icon calendar
Wednesday, October 23, 2019
Icon time
3:15 pm - 4:15 pm
Icon speaker
Lisa Piccirillo (University of Texas at Austin)
Icon series
Frontiers In Mathematics Colloquium

There is a rich interplay between the fields of knot theory and 3- and 4-manifold topology. In this talk, I will highlight some historical and recent connections between knot concordance (a weak notion of equivalence for knots) 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. I will also discuss a new method for using 4-manifolds to study knot concordance, and use it to show that the Conway knot is not slice.

Reception to follow at 4:30.