## EVENT DETAILS AND ABSTRACT

**Bellow Lecture Series**
**Title:** Between characteristic zero and characteristic p

**Speaker:** Jacob Lurie

**Speaker Info:** Harvard University

**Brief Description:**

**Special Note**:

**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 these talks, I will give an informal introduction to the theory of ring spectra. In this setting, one has "fields" (called Morava K-theories) which in some sense lie between characteristic zero and characteristic p. I'll then discuss some curious features of representation theory and algebraic geometry in these intermediate regimes.

**Date:** Friday, October 28, 2016

**Time:** 04:10pm

**Where:** Lunt 105

**Contact Person:** John Francis

**Contact email:** jnkf@northwestern.edu

**Contact Phone:**

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