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Lucas Piessevaux: Degrees of maps in algebraic topology

Time: Wed 2023-04-05 14.15 - 15.00

Location: Albanova, FB54

Participating: Lucas Piessevaux (SU)

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In this pre-colloquium talk I will give a gentle introduction to the notion of the degree of a map between spheres. We will connect this to standard algebraic invariants in algebraic topology such as homology and homotopy. Given the definition, one can already prove some basic properties about spheres which will serve as a motivation for why we care about degrees of maps.

This is a pre-colloquium targeted towards master and PhD students as a preparation for the equivariant generalisations discussed in Stefan Schwede's colloquium talk  at 15:15.