## Geometry Seminar - Abstracts

### Talk

Tuesday 24 September 2024, 16:00 - 17:00 in HG00.310

**Niall Taggart** (RU)

*Counting vector bundles*

### Abstract

It is a classical problem in algebraic topology to count the number rank \(d\) vector bundles over a space \(X\) having fixed characteristic class data. In this talk I will explain how the implementation of a few homotopy theoretic techniques make this a tractable problem for stably trivial vector bundles. This will touch upon joint works (in progress) with each of Arone, Boyde and Carr.

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