Abstracts of upcoming talks at the MPIM. For an overview see also the calendar.

## Recent developments in Quantum Topology -- Cancelled --

We will review the basics of quantum topology such as the colored Jones polynomial of a knot, its standard conjectures relating to asymptotics, arithmeticity and modularity, as well as the recent quantum hyperbolic invariants of Kashaev et al, their state-integrals and their structural properties. The course is aimed to be accessible by graduate students and young researchers.

## An overview of the barycenter method in nonpositively curved manifolds II

## Podium discussion on topology

## Cohomology of arithmetic groups and Eisenstein series (I) - some geometric aspects at infinity

## Vertex Algebras and Factorization Algebras

There are several mathematical approaches to chiral two-dimensional conformal field theory. One of them is the notion of a factorization algebra on a Riemann surface, introduced by Costello and Gwilliam and inspired by Beilinson and Drinfeld's algebro-geometric notion of factorization algebra. Costello and Gwilliam construct vertex algebras from holomorphic factorization algebras on C. We construct holomorphic factorizations algebras from vertex algebras using geometric vertex algebras as an intermediate notion.

## A new approach to gaps between zeta zeros

In this talk we look at the value-distribution of Dirichlet polynomials

hypothesis on the distribution of zeroes of the Riemann zeta function.

## IMPRS seminar on various topics: Homotopy algebras

## Introduction to Homotopy Algebras

## Asymptotic Dimension

## Derived Categories and the Genus of Curves

A 19th century problem in algebraic geometry is to understand the relation between the genus and the degree of a curve in complex projective space. This is easy in the case of the projective plane, but becomes quite involved already in the case of three dimensional projective space. I will talk about generalizing classical results on this problem by Gruson and Peskine to other threefolds. This includes principally polarized abelian threefolds of Picard rank one and some Fano threefolds.

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |