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Irving Dai from the University of Texas at Austin will speak on Symmetries of Manifolds. The talk will be in Tucker Technology Center 352, and refreshments will be served beforehand at 3:30 pm in Tucker Technology Center 300.

Abstract: We outline some questions involving symmetries of 3- and 4-dimensional manifolds and explain the application of these ideas to different problems in low-dimensional topology. We will see that symmetries of manifolds play an unexpected role in the study of such fundamental topics as exotic phenomena (which measure the difference between smooth and continuous topology) and sliceness obstructions for knots (that is, whether a knot bounds a smoothly embedded disk in the four-dimensional ball).

Several TCU students participated in the "My Favorite Theorem" podcast, co-hosted by our recent Green Honors Chair Dr. Kevin Knudson. Listen to the episode here!