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Algebra & Geometry Seminar

Speaker: Alexandre (Sasha) Zotine (McMaster University)

Title: Dynamics of Projectivized Toric Vector Bundles

Abstract:
Understanding the dynamics (self-maps) of a variety can often reveal information about its geometry. For example, the only curves with non-trivial surjective endomorphisms are of genus zero or one. In this talk, I will discuss the dynamics of projectivized vector bundles, where a similar classifying phenomenon seems to arise: the existence of non-trivial surjective endomorphisms suggests that the bundle splits into a direct sum of line bundles. This is joint work with Javier González Anaya and Brett Nasserden.