Title: Surfaces and Differential GeometryAbstract: Informally, differential geometry is using calculus to study smooth objects. More formally, it is the study of smooth objects that locally look like R^n. Classically, differential geometry is the study of smooth curves (informally bent lines) and surfaces (informally bent paper) inside of three-dimensional space.In this talk, we will define and […]

We will be having a a mixer with the undergrad physics club SPS on Friday in Bloomberg 462 at 430pm. We will have jeopardy, lots of nice free food, an integration bee, and other fun activities planned! Come by for a fun time!

Title: An Introduction to the Koszul ComplexAbstract: In this talk we will explore the motivation, definition, and usage of the Koszul complex. We will specifically pay attention to examples of Koszul complexes in geometry, representation theory, and analysis. Ideally the audience knows some linear algebra and abstract algebra.