Today in Topology we have Alex Casella visiting the department. His title and abstract are below.

Title: Cauchy Riemann Structures Of Once-Punctured Torus Bundles

Speaker: Alex Casella, Florida State University

Date: Mar 5, 2019 Time: 3:30 PM

Room: MSCS 509

Abstract: The Cauchy-Riemann geometry (CR in short) is modelled on the three sphere and the group of its biholomorphic transformations. In 2008, Falbel makes use of ideal triangulations to shows that the figure eight knot complement admits a (branched) CR structure. This three manifold belongs to a larger class of important three manifolds that are fiber bundles over the circle, with fiber space the once-punctured torus. In this talk we introduce the audience to these manifolds and show that almost every once-punctured torus bundle admits a (branched) CR structure.

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman