Srimathy Srinivasan (University of Colorado) Good reduction of unitary groups of quaternionic skew-hermitian forms

Tue, Jan. 28 4pm (MATH 350)

Topology

Bob Gompf (University of Texas at Austin) Exotic Smooth Structures on R^4

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TBA

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One of the most surprising discoveries in 4-manifold topology was the existence of smooth manifolds homeomorphic, but not diffeomorphic, to Euclidean 4-space. For fundamental reasons, this phenomenon can only occur in 4 dimensions. We will survey the subject, from its origin to recent developments regarding symmetries of such manifolds. This talk should be accessible to a broad audience.