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Special Colloquium – Dr. Hannah Schwartz
December 8, 2022 @ 4:00 pm - 5:00 pm
Speaker: Dr. Hannah Schwartz
Time: 4:00p-5:00p
Mode: In Person
Location: Phillips 332
Title: A trip to the movies, starring: spheres in 4-manifolds
Abstract: How, and why, should surfaces in 4-manifolds be visualized? We will begin by illustrating movies of knotted surfaces in four dimensions, followed by a discussion on the relevance of these pictures to the study of smooth 4-manifolds. In particular, we will examine surgery operations on smoothly embedded spheres that relate exotic pairs of smooth 4-manifolds, i.e. those that are homeomorphic but not diffeomorphic. This will provide both context and motivation for an outline of the recent “4D Light Bulb” theorems of Gabai and Schneiderman-Teichner (for spheres) along with Kosanovic-Teichner and myself (for properly embedded disks). This family of results provides conditions under which homotopy implies isotopy for surfaces in 4-manifolds.
There will also be a Tea at 3:30pm in PH 330 with Dr. Schwartz on 12/8.