On the Canonical, FPQC and Finite Topologies of Noetherian Schemes - Old Questions, New Answers

Explore advanced concepts in algebraic geometry in this 55-minute lecture by Yves André from Sorbonne Université. Delve into the intricacies of canonical, fpqc, and finite topologies of Noetherian schemes, addressing longstanding questions with fresh perspectives. Delivered as part of the 2021 Fields Medal Symposium honoring Peter Scholze, this talk offers valuable insights for researchers and graduate students in mathematics, particularly those specializing in algebraic geometry and scheme theory.