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## Conference on "Elementare und Analytische Zahlentheorie (ELAZ)", September 3 - 7, 2018

**Conference on "Elementare und Analytische Zahlentheorie (ELAZ)"**

**September 3 - 7, 2018**

### Organizers

Kathrin Bringmann (Universität zu Köln)

Stephan Ehlen (Universität zu Köln)

Pieter Moree (MPIM Bonn)

## MPI-Oberseminar

The Oberseminar is a very long running seminar at MPI (‘Ober‘ standing for 'upper'). Its idea is that the guests of the MPI speak in this seminar (hopefully early in their stay) and get the chance to explain their work to the other guests.

## Friedrich Hirzebruch Lecture

The annual Friedrich Hirzebruch Lecture is a series of lectures started in 2007 on the occasion of the 80th birthday of Prof. Friedrich Hirzebruch. The lectures address a general audience and aim at illustrating the relation between mathematics and art, society and other fields.

## Conference "Higher algebra and mathematical physics", August 13 - 17, 2018

**Double conference "Higher algebra and mathematical physics"**

**August 13 - 17, 2018 **

## Conference "Dynamics: Topology and Numbers", July 2 - 6, 2018

**Conference "Dynamics: Topology and Numbers"**

**July 2 - 6, 2018 **

## Optimal inequalities for $L^p$ norms of the torsion function.

## Counting rational points in arithmetic varieties by the determinant

By the slope method in Arakelov geometry, we can construct a

family of hypersurfaces which cover the rational points of bounded height on

an arithmetic variety, but do not contain the generic point of this variety.

By estimating some invariants of Arakelov geometry, we can control the

number and the maximal degree of this family of auxiliary hypersurfaces

explicitly. In this talk, I will explain the method of studying the problem

of counting rational points by using methods from Arakelov geometry.