A brief tour of bordism theory

Andrew Baker (University of Glasgow)

Monday 24th January 16:00-17:00 Maths 311B - Online

Abstract

The notion of (co)bordism between manifolds has played an important part in geometric topology and in stable homotopy theory. I will explain how the calculation of bordism groups can be addressed using methods of stable homotopy theory. As a particular example I will discuss the especially challenging case of symplectic/quaternionic bordism (despite the name this has nothing to do with symplectic geometry). This will be a survey talk which graduate students may find helpful in providing background knowledge.

The talk will be preceded by a tea time at 3:45pm. The Zoom link for the seminar is https://uofglasgow.zoom.us/j/98078798957 and the passcode is the genus of the two-dimensional sphere (4 letters, all lowercase).

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