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Families of Galois representations
The absolute Galois group of Q is one of the central objects of study in arithmetic geometry. Although in general we understand very little about this group, in the last decade there has been great progress on the study of its two dimensional representations. One striking feature is that these representations tend to occur in families. We will discuss certain three dimensional families which occur; we will then turn to the implications to arithmetic given by the one dimensional subfamily of geometric Galois representations.
Thursday, January 15, 2004, 245 Altgeld Hall, 2:00 p.m.
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