## Upcoming conferences & activities

## Graduate Research Opportunities for Women at Bonn 2023 (GROW)

# Graduate Research Opportunities for Women at Bonn 2023, March 30-31, 2023

The GROW@Bonn 2023 conference is aimed at women, non-binary and gender diverse undergraduate students who may be interested in learning about opportunities of graduate degree in the mathematical sciences.

The conference is open to bachelors and masters students from universities in Germany and neighbouring EU countries, including international students. Reasonable cost of travel will be refunded and accommodation will be provided by the conference to the selected participants who wish to travel to Bonn for GROW. Priorities will be given to those who have not attended any GROW conference before. The conference will be in English. People are welcome to ask questions in German. We will have plenty of German speaking mentors/volunteers/organizers.

## Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods"

## Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods", April 24 - 28, 2023

The field of arithmetic statistics is a fast-moving area of number theory, dealing with distributional results for many basic and important objects: ranks of elliptic curves, central values of L-functions, number fields, modular symbols, orbits of discrete groups etc. The techniques involved come from diverse areas of mathematics e.g. automorphic forms, ergodic theory, spectral theory, dynamical systems, probabilistic number theory, representation theory and random matrix theory. This workshop intends to bring together researchers of all career levels to present their work and exchange ideas and techniques on arithmetic statistics. Motivated by the programme of Mazur and Rubin based on their computational study of elliptic curves over abelian extensions of fixed degree, the meeting will focus on modular symbols, Manin's noncommutative modular symbols, equidistribution of lattice points on the sphere, Heegner points, and closed geodesics, including the error term in the Prime Geodesic Theorem.

## Arbeitstagung 2023 on Condensed Mathematics

#### Arbeitstagung 2023 on Condensed Mathematics, June 19 - 23, 2023

The Arbeitstagung 2023 will focus on Condensed Mathematics, a new approach to topology, and its applications throughout mathematics, from logic over algebra, analysis and K-theory to group theory and dynamical systems. As usual at an Arbeitstagung, part of the program will only be decided during the event depending on the interests of the audience.

#### Organizers

Dustin Clausen, Peter Scholze

#### Local organizer

#### Speakers

Alexander Efimov - HSE University

Peter Haine - UC Berkeley

Peter Kropholler - University of Southampton

Catrin Mair - Technische Universität Darmstadt

Lucas Mann - Universität Münster

Akhil Mathew - University of Chicago

Yosuke Morita - Kyoto University

Juan Esteban Rodriguez Camargo - MPIM Bonn

## Young Number Theorists in Bonn

## Young Number Theorists in Bonn, September 11 - 15, 2023

The aim of the conference is to bring together early-stage career researchers in number theory (PhD students and postdocs who have obtained their PhD in 2021 or later). We hope that the friendly and engaging atmosphere will encourage the participants to ask questions and discuss their research freely, talk about future job applications and other important aspects of a career in academia. Furthermore, participants will be able to apply to give talks to describe the problems they are working on.

### Funding

We try to support hotel costs for as many participants as possible who need help with funding. If you are not necessarily dependent on funding from us, it would therefore be appreciated if you used other sources. Please indicate in the registration form if you will need financial support form us. However, we ask for your understanding that we cannot cover travel costs; participants are expected to cover that from their own travel funds.

## Upcoming Talks

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.

## Conic fibrations over elliptic curves

Contact: Pieter Moree (moree @ mpim-bonn.mpg.de)

A theorem of Serre states that almost all plane conics over Q have no rational point. We prove an analogue of this for a family of conics parametrised by certain elliptic curves using elliptic divisibility sequences and a version of the Selberg sieve. Another way to think about this result is: we show that 0% of points on elliptic curves have a denominator which is a sum of two squares.

## Low-dimensional topology seminar

Contact: Aru Ray

## Euler characteristics and 4-manifolds

Contact: Aru Ray (aruray @ mpim-bonn.mpg.de)

We consider the Euler characteristics of closed orientable 2n-manifolds with a given fundamental group G, and highly-connected universal cover. We strengthen the 4-dimensional Hausmann-Weinberger estimates and extend to higher dimensions. As an application we obtain new restrictions for non-abelian finite groups arising as fundamental groups of rational homology 4-spheres.

## Group actions on manifolds, rigidity and local rigidity

[MPI-Oberseminar currently in-person only]

## Differential graded Lie algebras and stability problems in geometry

Given a Lie algebroid structure on a vector bundle $A$ and a leaf $L$ of this Lie algebroid, a natural question is whether all nearby Lie algebroid structures on A have a leaf which is diffeomorphic to $L$. This question was answered by M. Crainic and R. Fernandes.

## Schinzel's Hypothesis with probability 1 and rational points on varieties in families

We prove that Schinzel's Hypothesis (H) holds for 100% of polynomials of any fixed degree. I will discuss the proof of this result and also explain how to deduce from this the Hasse principle for certain surfaces.

## tba

## Mathematical events in Bonn

##### Bonn Mathematics Calendar

All mathematical events in Bonn are listed in the Bonn Mathematics Calendar. For directions see the map.

##### University Calendar

All lectures and courses at Bonn University can be found in the university calendar.

## Recurring seminars, series and courses

Detailed list of recurring seminars, series of talks, and courses or lectures comprising multiple talks. For an overview see also the calendar.

## 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.

## 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.

## Extra talk

## IMPRS Minicourse

## Seminar on Algebra, Geometry and Physics

## Oberseminar Differentialgeometrie

**Hybrid talks. Access to the institute and lecture hall according to MPIM
corona rules.
For zoom details please contact Stephan Stadler (stadler$@$mpim-bonn$.$mpg$.$de)**

## Seminar Algebraic Geometry (SAG)

## Higher Differential Geometry Seminar

## Archived Events

To narrow the list of events displayed please select year and event type or fill the search fields, then press *Apply*.

## 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.

## Young Number Theorists in Bonn

## Young Number Theorists in Bonn, September 11 - 15, 2023

The aim of the conference is to bring together early-stage career researchers in number theory (PhD students and postdocs who have obtained their PhD in 2021 or later). We hope that the friendly and engaging atmosphere will encourage the participants to ask questions and discuss their research freely, talk about future job applications and other important aspects of a career in academia. Furthermore, participants will be able to apply to give talks to describe the problems they are working on.

### Funding

We try to support hotel costs for as many participants as possible who need help with funding. If you are not necessarily dependent on funding from us, it would therefore be appreciated if you used other sources. Please indicate in the registration form if you will need financial support form us. However, we ask for your understanding that we cannot cover travel costs; participants are expected to cover that from their own travel funds.

## Arbeitstagung 2023 on Condensed Mathematics

#### Arbeitstagung 2023 on Condensed Mathematics, June 19 - 23, 2023

The Arbeitstagung 2023 will focus on Condensed Mathematics, a new approach to topology, and its applications throughout mathematics, from logic over algebra, analysis and K-theory to group theory and dynamical systems. As usual at an Arbeitstagung, part of the program will only be decided during the event depending on the interests of the audience.

#### Organizers

Dustin Clausen, Peter Scholze

#### Local organizer

#### Speakers

Alexander Efimov - HSE University

Peter Haine - UC Berkeley

Peter Kropholler - University of Southampton

Catrin Mair - Technische Universität Darmstadt

Lucas Mann - Universität Münster

Akhil Mathew - University of Chicago

Yosuke Morita - Kyoto University

Juan Esteban Rodriguez Camargo - MPIM Bonn

## tba

## Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods"

## Conference on "Arithmetic Statistics, Automorphic Forms and Ergodic Methods", April 24 - 28, 2023

The field of arithmetic statistics is a fast-moving area of number theory, dealing with distributional results for many basic and important objects: ranks of elliptic curves, central values of L-functions, number fields, modular symbols, orbits of discrete groups etc. The techniques involved come from diverse areas of mathematics e.g. automorphic forms, ergodic theory, spectral theory, dynamical systems, probabilistic number theory, representation theory and random matrix theory. This workshop intends to bring together researchers of all career levels to present their work and exchange ideas and techniques on arithmetic statistics. Motivated by the programme of Mazur and Rubin based on their computational study of elliptic curves over abelian extensions of fixed degree, the meeting will focus on modular symbols, Manin's noncommutative modular symbols, equidistribution of lattice points on the sphere, Heegner points, and closed geodesics, including the error term in the Prime Geodesic Theorem.

## Schinzel's Hypothesis with probability 1 and rational points on varieties in families

We prove that Schinzel's Hypothesis (H) holds for 100% of polynomials of any fixed degree. I will discuss the proof of this result and also explain how to deduce from this the Hasse principle for certain surfaces.

## Differential graded Lie algebras and stability problems in geometry

Given a Lie algebroid structure on a vector bundle $A$ and a leaf $L$ of this Lie algebroid, a natural question is whether all nearby Lie algebroid structures on A have a leaf which is diffeomorphic to $L$. This question was answered by M. Crainic and R. Fernandes.

## Graduate Research Opportunities for Women at Bonn 2023 (GROW)

# Graduate Research Opportunities for Women at Bonn 2023, March 30-31, 2023

The GROW@Bonn 2023 conference is aimed at women, non-binary and gender diverse undergraduate students who may be interested in learning about opportunities of graduate degree in the mathematical sciences.

The conference is open to bachelors and masters students from universities in Germany and neighbouring EU countries, including international students. Reasonable cost of travel will be refunded and accommodation will be provided by the conference to the selected participants who wish to travel to Bonn for GROW. Priorities will be given to those who have not attended any GROW conference before. The conference will be in English. People are welcome to ask questions in German. We will have plenty of German speaking mentors/volunteers/organizers.

## Group actions on manifolds, rigidity and local rigidity

[MPI-Oberseminar currently in-person only]

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