## EVENT DETAILS AND ABSTRACT

**Midwest Algebraic Geometry Conference**
**Title:** Intersection theory on arithmetic surfaces and metrics with L^2_1 regularity

**Speaker:** Jean-Benoît Bost

**Speaker Info:** Université de Paris-Sud

**Brief Description:**

**Special Note**: **Bost will give a seminar at Northwestern on November 3.**

**Abstract:**

We present an extension of Arakelov intersection theory on arithmetic surfaces which involves Green
functions with weaker regularity than the usual theory, namely we require them to belong to the Sobolev space L^2_1.
The talk will be devoted first to a review of the usual Arakelov intersection theory on arithmetic surfaces, and then to
a discussion of this extended theory and of various applications, involving capacity theory on Riemann surfaces,
families of abelian varieties, and modular curves.

**Date:** Saturday, October 31, 1998

**Time:** 3:00pm

**Where:** Swift

**Contact Person:** Ezra Getzler

**Contact email:** getzler@math.nwu.edu

**Contact Phone:** (847) 467-1695

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