# Morphisms of Berkovich analytic curves and the different function

Seminar

Speaker

Adina Cohen (Hebrew University of Jerusalem)

Date

10/12/2014 - 11:30 - 10:30Add to Calendar

`2014-12-10 10:30:00``2014-12-10 11:30:00``Morphisms of Berkovich analytic curves and the different function``In this talk we will study the topological ramification locus of a generically étale morphism f : Y --> X between quasi-smooth Berkovich curves. We define a different function \delta f : Y --> [0,1] which measures the wildness of the morphism. It turns out to be a piecewise monomial function on the curve, satisfying a balancing condition at type 2 points analogous to the classical Riemann-Hurwitz formula. We also explain how \delta can be used to explicitly construct the simultaneous skeletons of X and Y. Joint work with Prof. M. Temkin and Dr. D. Trushin. The talk will begin with a quick background on Berkovich curves. All terms will be defined.``אוניברסיטת בר-אילן - Department of Mathematics``mathoffice@math.biu.ac.il``Asia/Jerusalem``public`Abstract

In this talk we will study the topological ramification locus of a generically étale morphism f : Y --> X between quasi-smooth Berkovich curves. We define a different function \delta f : Y --> [0,1] which measures the wildness of the morphism. It turns out to be a piecewise monomial function on the curve, satisfying a balancing condition at type 2 points analogous to the classical Riemann-Hurwitz formula. We also explain how \delta can be used to explicitly construct the simultaneous skeletons of X and Y.

Joint work with Prof. M. Temkin and Dr. D. Trushin.

The talk will begin with a quick background on Berkovich curves. All terms will be defined.

Last Updated Date : 03/12/2014