Posted on May 21st, 2014 in Math

In classical algebraic geometry, there is often a stark difference between the behavior offields 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 series of talks, Dr. Jacob Lurie will give an informal introduction to the theory of “spectral” algebraic geometry. In this setting, one can study “fields” which in some sense lie between characteristic zero and characteristic p. Lurie will discuss some of the curious and surprising features of algebraic geometry in these intermediate regimes, focusing on the behavior of roots of unity.

Sponsored by the UO Department of Mathematics