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Stable equivalence of smoothly knotted surfaces

Dave Auckly, Kansas State University
Friday, November 16, 2018 - 2:30pm to 3:30pm
MEB 248

It is well known that there are smoothly inequivalent, objects in 4-dimensions that are topologically equivalent. Fairly general results exist stating that such objects become smoothly equivalent after some 
number of stabilizations. In this talk we'll cover the construction and detection of smoothly knotted surfaces and a general result from 2017 demonstrating that one stabilization is enough for knotted surfaces.

NOTE: Unusual time/place for DG/PDE seminar.