## Upcoming conferences & activities

## Graduate Research Opportunities for Women at Bonn 2024 (GROW@Bonn 2024)

GROW@Bonn 2024 is for all students of underrepresented gender identities in mathematics, especially female students, who are interested in learning about graduate programmes and further opportunities in research, both within and outside academia. The conference is open to Bachelor and Master students from universities in Germany and neighbouring countries, including international students. The accommodation costs of all accepted student participants will be covered. It is possible to apply for funding for travel costs.

Talks and panels will be in English, but many of the mentors/volunteers/organisers will be able to speak in German and possibly other languages.

The conference will feature

- A plenary talk;

- Research talks by faculty and PhD students;

- Panel discussions about graduate research in the mathematical sciences;

- Networking and mentoring opportunities;

- Advice on preparing applications for graduate school (Master and PhD).

All interested students must register beforehand (registration form will follow), regardless of whether you are applying for funding. Confirmed participants will be notified by email.

We are currently looking for local mathematicians who would like to come and chat with our participants at GROW@Bonn 2024. Please register here to volunteer.

In case you have any questions, please contact **conference****$@$mpim-bonn$.$mpg$.$de**.

__Registration__

As of February 14, 2024 the registration is closed.

## Conference on "Homology growth in topology and group theory"

## Conference on "Homology growth in topology and group theory", May 13 - 17, 2024

Homology growth is an umbrella term for a number of invariants associated to a topological space. In their simplest incarnation, they measure

the growth of Betti numbers in finite covers of the space. Over the years, homology growth became a central topic in group theory and

geometric topology. It connects various topological and geometric phenomena, especially in low-dimensional manifolds, with analytically

or combinatorially defined invariants, like L^2-Betti numbers. In particular, homology growth plays a central role in controlling the existence

of fiberings, over the circle in the topological setting, and over the integers in the algebraic one. The motivation and guiding principles come

from the theory of 3-manifolds. Inspired by Agol's resolution of Thurston's Virtual Fibering Conjecture, homology growth and related ideas have been

very recently used both in the algebraic setting of cubulated groups, and in higher dimensional negatively curved manifolds. This conference aims

to bring together people behind these recent developments, provide an overview of the field and help formulate a coherent system of conjectures

to guide us in the years to come.

In case you have any questions, please contact **hogro2024****$@$mpim-bonn$.$mpg$.$de**.

### Registration

Please register here for the conference by March 15, 2024.

## Workshop on "Dualisable Categories & Continuous K-theory"

## Workshop on "Dualisable Categories & Continuous K-theory", September 9 - 13, 2024

Algebraic K-theory is an object that sits at the centre of large parts of algebra, geometry, and topology because of its universal role as a receptacle to count other mathematical objects with signs. However, since its invention, a phenomenon often called the Eilenberg swindle - which says that the algebraic K-theory of a category which is too large must necessarily be zero - has been accepted as a fundamental limit to the theory.

## 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.

## Estimations of major and minor arcs

## Violation of local-to-global principles for rationality and linearizability

In the first part, based on the preprint arXiv:2305.03481 (to appear in Comptes Rendus Math.), we show that even within a class of varieties where the Brauer–Manin obstruction is the only obstruction to the local-to-global principle for the existence of rational points (Hasse principle), this obstruction, even in a stronger, base change invariant form, may be insufficient for explaining counter-examples to the local-to-global principle for rationality.

## The Atiyah—Singer Index Theorem, Revisited From Supersymmetry

## Frobenius theorem in Algebraic Geometry

In the past century, foliations have been studied intensively in the context of differential geometry. However, they have recently received a surge of interest from algebraic geometers as a tool to tackle long standing conjectures such as the abundance and the Green--Griffiths conjecture. The aim of this talk is to introduce foliations using the language of stacks and to interpret Frobenius theorem as a local structure theorem for these stacks.

## Crash course in differential topology, part II

## Hitchin representations and higher rank lattices

Let S be a closed orientable surface of genus at least 2. The Hitchin component is a special connected component of the space of representations of the fundamental group of S in SL(n,R). All the representations in it are faithful and have discrete image. Motivated by the study of higher rank lattices, the goal of this talk is to construct Hitchin representations whose image is contained in a lattice of SL(n,R). This gives new examples of Zariski-dense subgroups in arithmetic groups (these are "thin" subgroups). I will start by presenting the Hitchin component and motivating the problem.

## 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.

## IMPRS Minicourse

## Extra talk

## Seminar on Algebra, Geometry and Physics

## Oberseminar Differentialgeometrie

**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.

## Workshop on "Dualisable Categories & Continuous K-theory"

## Workshop on "Dualisable Categories & Continuous K-theory", September 9 - 13, 2024

Algebraic K-theory is an object that sits at the centre of large parts of algebra, geometry, and topology because of its universal role as a receptacle to count other mathematical objects with signs. However, since its invention, a phenomenon often called the Eilenberg swindle - which says that the algebraic K-theory of a category which is too large must necessarily be zero - has been accepted as a fundamental limit to the theory.

## Conference on "Homology growth in topology and group theory"

## Conference on "Homology growth in topology and group theory", May 13 - 17, 2024

Homology growth is an umbrella term for a number of invariants associated to a topological space. In their simplest incarnation, they measure

the growth of Betti numbers in finite covers of the space. Over the years, homology growth became a central topic in group theory and

geometric topology. It connects various topological and geometric phenomena, especially in low-dimensional manifolds, with analytically

or combinatorially defined invariants, like L^2-Betti numbers. In particular, homology growth plays a central role in controlling the existence

of fiberings, over the circle in the topological setting, and over the integers in the algebraic one. The motivation and guiding principles come

from the theory of 3-manifolds. Inspired by Agol's resolution of Thurston's Virtual Fibering Conjecture, homology growth and related ideas have been

very recently used both in the algebraic setting of cubulated groups, and in higher dimensional negatively curved manifolds. This conference aims

to bring together people behind these recent developments, provide an overview of the field and help formulate a coherent system of conjectures

to guide us in the years to come.

In case you have any questions, please contact **hogro2024****$@$mpim-bonn$.$mpg$.$de**.

### Registration

Please register here for the conference by March 15, 2024.

## Graduate Research Opportunities for Women at Bonn 2024 (GROW@Bonn 2024)

GROW@Bonn 2024 is for all students of underrepresented gender identities in mathematics, especially female students, who are interested in learning about graduate programmes and further opportunities in research, both within and outside academia. The conference is open to Bachelor and Master students from universities in Germany and neighbouring countries, including international students. The accommodation costs of all accepted student participants will be covered. It is possible to apply for funding for travel costs.

Talks and panels will be in English, but many of the mentors/volunteers/organisers will be able to speak in German and possibly other languages.

The conference will feature

- A plenary talk;

- Research talks by faculty and PhD students;

- Panel discussions about graduate research in the mathematical sciences;

- Networking and mentoring opportunities;

- Advice on preparing applications for graduate school (Master and PhD).

All interested students must register beforehand (registration form will follow), regardless of whether you are applying for funding. Confirmed participants will be notified by email.

We are currently looking for local mathematicians who would like to come and chat with our participants at GROW@Bonn 2024. Please register here to volunteer.

In case you have any questions, please contact **conference****$@$mpim-bonn$.$mpg$.$de**.

__Registration__

As of February 14, 2024 the registration is closed.

## tba

## Hitchin representations and higher rank lattices

Let S be a closed orientable surface of genus at least 2. The Hitchin component is a special connected component of the space of representations of the fundamental group of S in SL(n,R). All the representations in it are faithful and have discrete image. Motivated by the study of higher rank lattices, the goal of this talk is to construct Hitchin representations whose image is contained in a lattice of SL(n,R). This gives new examples of Zariski-dense subgroups in arithmetic groups (these are "thin" subgroups). I will start by presenting the Hitchin component and motivating the problem.

## Crash course in differential topology, part II

## Frobenius theorem in Algebraic Geometry

In the past century, foliations have been studied intensively in the context of differential geometry. However, they have recently received a surge of interest from algebraic geometers as a tool to tackle long standing conjectures such as the abundance and the Green--Griffiths conjecture. The aim of this talk is to introduce foliations using the language of stacks and to interpret Frobenius theorem as a local structure theorem for these stacks.

## The Atiyah—Singer Index Theorem, Revisited From Supersymmetry

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