A talk by Hannah Schwartz '13
Event Date: Mar. 25, 2021
Zoom Link: https://occidental.zoom.us/j/97665772888
Passcode: 788266
Topologists use various notions of equivalence in order to compare curves and surfaces in space. We will discuss two of these in particular: a simple form of equivalence called homotopy, and a strictly stronger form of equivalence called isotopy. In what spaces are these two equivalences the same, i.e. when does homotopy imply isotopy? When are they different? After setting up some necessary background, we will explore recent examples and results about knotted curves and surfaces in both 3 and 4-dimensional spaces that attempt to answer these questions.
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