國立清華大學 數學系

參考連結
https://sites.google.com/view/sgsnthu/home

Abstract:
In this talk, I will define densities on real vector spaces and smooth vector bundles, which generalize volume forms and enable coordinate-free integration, even in the absence of orientation. This provides a flexible framework for integration on manifolds, where traditional tools like orientation may not apply. The main focus will be on the properties of densities and their role in integration, with a discussion on the natural pairing between densities and generalized sections, and how they relate to differential operators and adjointness.