K(1)-local symplectic (co-)bordism

Jan Holz (Ruhr-University Bochum)

Monday 15th February 16:00-17:00 Online

Abstract

 

One of the classical branches of cobordism is concerned with manifolds with a symplectic structure on their stable normal bundle. Homotopy theory has been a useful tool for calculating many a bordism ring, however, a complete determination of symplectic bordism has not yet been accomplished. We will discuss a chromatic approach to such a determination, which involves the systematic destruction of information in order to simplify our calculations. We present new results on the first of these simplifications, the so-called K(1)-localisation.


 

The talk will be preceded by a tea time at 3:45pm. The Zoom link for the seminar is https://uofglasgow.zoom.us/j/91412568415 and the passcode is the genus of the two-dimensional sphere (4 letters, all lowercase).


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