*Speaker:***Dr Jacob Rasmussen ** (DPMMS)*Venue: *Winstanley Lecture Theatre, Trinity College*Time: ***01/02/2010 20:30**, drinks from **20:15**

The tangent bundle to the n-dimensional sphere is the set of all pairs (x,v), where x is a point in the sphere, and v is a vector in R^{n+1} tangent to x at p. I’ll discuss the geometry and topology of this space and of a more general class of spaces known as vector bundles on spheres.