The Fall 2015 Bowen Lectures were given by Jacob Lurie of Harvard University, on November 2nd, 3rd and 4th, 2015. Each lecture begins at 4:10pm and ends at 5:00pm.
Series Title: Between Characteristic Zero and Characteristic p
Monday November 2nd
Lecture 1: Cohomology Theories, Rings, and Fields
2060 Valley Life Sciences Building
Reception following Monday’s lecture
5:15 pm, 1015 Evans Hall
Tuesday November 3rd
Lecture 2: Representation Theory in Intermediate Characteristic
141 McCone Hall
Wednesday November 4th
Lecture 3: Roots of Unity in Intermediate Characteristic
3108 Etcheverry Hall
Series Abstract:
In algebra and 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 xp=1 has p distinct solutions over the field of complex numbers, but only one solution over any field of characteristic p. In this series talks, I'll introduce the subject ofK(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.