Math Club (Euler Characteristic Talk)
by Math Club
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Title: An invitation to the Euler characteristic.
Abstract: Have you ever wondered what a sphere, a pyramid, and a cube have in common? In this talk, we will embark on a journey to uncover the fascinating world of the Euler characteristic, a number that captures the essence of a shape's structure, disregarding its inessential metric features such as volume or length. From counting vertices, edges, and faces to understanding more complicated objects, the Euler characteristic is a simple yet profound invariant that reveals surprising connections between geometry, algebra, and combinatorics, via the lenses of topology. Along the way, you'll tackle puzzles, discover unexpected properties, and see how this concept opens the door to some of the most exciting ideas in modern math. Whether you’re new to topology or just love seeing mathematics in action, this talk will have something for you. Come ready to explore, compute, and be amazed!