|Topic:||The Syntomic Regulator for K_1 of Surfaces|
|Affiliation:||Ben-Gurion University, Israel and Member, School of Mathematics|
|Date:||Tuesday, February 13|
|Time/Room:||2:00pm - 3:00pm/S-101|
We give an explicit formula for the syntomic regulator of certain elements in the first algebraic K-theory group of a smooth complete surface over the ring of integers of a p-adic field. The formula uses the theory of Coleman integration and the notion of multiple indexes, a kind of generalized residue.