Date: Friday, April 03, 2015
Location: 1866 East Hall (4:00 PM to 5:00 PM)
Title: Lecture IV: Roots of unity in stable homotopy theory
Abstract: In classical algebraic geometry, there is often a stark difference between the behavior of fields of characteristic zero (such as the complex numbers) and fields of characteristic p (such as finite fields). For example, the equation x^p = 1 has p distinct solutions over the field of complex numbers, but only one solution over any field of characteristic p. In this talk, I'll introduce the subject of K(n)local homotopy theory, which in some sense interpolates between characteristic zero and characteristic p, and describe the curious behavior of roots of unity in this intermediate regime.
Files:
Speaker: Jacob Lurie
Institution: Harvard University
Event Organizer:
