Department of Mathematics,
University of California San Diego
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Advancement to Candidacy
Scotty Tilton
UC San Diego
Distinguishing diffeomorphisms with Equivariant Bauer-Furuta Invariants
Abstract:
Simply connected smooth 4-manifolds are complicated; understanding anything about them is good progress toward the larger goal of classification. There have been some discoveries in the past few years that distinguish exotic diffeomorphisms (which are topologically isotopic, but not smoothly so) using the families Bauer-Furuta invariant. The goal of this talk is to provide the context of this area, the background for the families Bauer-Furuta invariant, and some ideas for my future research directions.
Advisor: Zhouli Xu
May 8, 2024
4:00 PM
AP&M 6402, https://ucsd.zoom.us/j/
Research Areas
Geometry and Topology****************************
