The Syntomic Regulator for K_1 of Surfaces

MOTIVIC COHOMOLOGY
Topic:The Syntomic Regulator for K_1 of Surfaces
Speaker:Amnon Besser
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.