Why Donuts Aren't Donut Holes and Other Important Topological Distinctions (series unlisted)

Abstract: This talk provides an accessible introduction to the world of topology, focusing on the classification of surfaces. We'll explore the key topological invariants—boundary, Euler characteristic, and orientability—that distinguish one surface from another. We will then uncover a classification theorem for closed surfaces, demonstrating that every such surface is topologically equivalent to a sphere, a connected sum of tori, or a connected sum of projective planes. (Remarkably, the modern formulation of this theorem dates back 100 years.) No prior knowledge of topology is assumed, making this talk suitable for students of all levels.

Food and refreshments will be served.

Mathematics

Audience: undergraduates

Brooklyn College Math Department Events

Series comments: The Brooklyn College Math Department hosts a lot great events for undergraduates and faculty! These events are organized by The Math Club, The Putnam Club, and faculty in the Math Department.