## Upcoming conferences & activities

## 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 - Kyushu University

Juan Esteban Rodriguez Camargo - MPIM Bonn

## Mini-workshop in algebraic geometry

## Conference for Young Number Theorists in Bonn

## Conference for 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.

## On the natural stratification of the space of differentiable functions and the space of Morse functions

Hybrid. Contact: Christian Kaiser (kaiser @ mpim-bonn.mpg.de)

## The Stark conjecture over the field of rational numbers: A new approach

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

We present a new proof for the algebraicity of the cyclotomic Stark units. These units are defined in a transcendental way, via the derivative at s=0 of a partial zeta function. The proof links these units to the special values of the Riemann zeta function at positive even integers. The rationality of these special values (modulo a power of pi) implies the algebraicity of the cyclotomic Stark units.

## The Nielsen realization for non-spin 4-manifolds

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

## 4-genus bounds from the 10/8+4 theorem

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

Donald and Vafaee described a way to use Furuta’s 10/8 theorem to obstruct sliceness in the 4-ball and Linh Truong used a refinement, the 10/8 +4 theorem of Hopkins-Lin-Shi and Hu, to strengthen this sliceness obstruction. We will show how to expand on this technique to obtain lower bounds for four-ball genus and present some calculations for satellite knots. This is joint work in progress with Sashka Kjuchukova and Linh Truong.

## Margulis Lemma and RCD spaces

Contact: Christian Kaiser (kaiser @ mpim-bonn.mpg.de)

## tba

## tba

Contact: Aru Ray (aruray @ mpim-bonn.mpg.de), Steven Sivek (sivek @ mpim-bonn.mpg.de)

## Conley index theory and condensed sets

The Conley index is a spatial refinement of the Morse index. Informally speaking, it is a ‘space’ that describes the local dynamics around an isolated invariant subset of a topological dynamical system. In this talk, I will explain a new formulation of Conley index theory, which I think is simpler and more flexible than the traditional formulation. One important point is that the Conley index should be defined as a based equivariant condensed set/anima, not as a mere homotopy type of topological spaces.

## 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

**Contact: Stephan Stadler (stadler$@$mpim-bonn$.$mpg$.$de)**

## Seminar Algebraic Geometry (SAG)

## Number theory lunch seminar

The number theory lunch seminar takes place every Wednesday after a joint lunch of MPIM's number theorists...

## 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.

## Conference for Young Number Theorists in Bonn

## Conference for 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.

## tba

Contact: Nicolas Addington

## tba

Contact: Nicolas Addington

## Mini-workshop in algebraic geometry

## tba

Contact: Nicolas Addington

## tba

## tba

## tba

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