|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.
Speaker: Jacob Lurie
Institution: Harvard University