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Inclusion-exclusion in topology and algebraic geometry
The inclusion-exclusion principle is a fundamental technique in combinatorics that allows passing between sizes of intersections and sizes of unions. We will explore a generalization of this formula where both the constituent pieces and the indexing set have extra structure, in particular a topology, inspired by the work of Vassiliev. We will then apply this technique to certain examples from algebraic geometry, namely the space of smooth polynomials and rational maps.
Dates: 15th, 16th, 17th September 2026
Time: 2-3 pm
Venue: LHC 111