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Austin Sun, Department of Pure Mathematics, University of Waterloo

"Two Proofs of the Generalized Bézout's Theorem - Part I"

The goal of this talk series is to examine algebraic and geometric aspects of the generalized Bézout's theorem by giving two different proofs. In part I of this talk series, I will give an introduction to intersection theory and discuss geometric intuitions behind Bézout's theorem for plane curves. Then, I will present a proof of the generalized theorem based on the one found in Terry Tao's blog.