## Upcoming conferences & activities

- Conference on "Arithmetic Geometry", July 22 - 26, 2024 (Mon, 22 Jul 2024 - Fri, 26 Jul 2024)
- Workshop on "Combinatorics, Resurgence and Algebraic Geometry in Quantum Field Theory" (Mon, 19 Aug 2024 - Fri, 23 Aug 2024)
- Workshop on "Dualisable Categories & Continuous K-theory" (Mon, 09 Sep 2024 - Fri, 13 Sep 2024)
- Workshop on "Unstable Homotopy Theory" (Mon, 11 Nov 2024 - Fri, 15 Nov 2024)

## Breakthrough in the Geometric Langlands program

Proposed by Robert Langlands in the 1960s, the eponymous program is one of the largest projects in modern mathematic and it consists of different branches. Over the years, the MPIM has gained a reputation as one of the hubs for the Langlands program. We are proud that MPIM Director Dennis Gaitsgory led a nine-person team of mathematicians that settles the geometric Langlands conjecture. The proof is the culmination of a research program that spanned three decades.

## Workshop on "Combinatorics, Resurgence and Algebraic Geometry in Quantum Field Theory"

## Workshop on "Combinatorics, Resurgence and Algebraic Geometry in Quantum Field Theory", August 19 - 23, 2024

The study of perturbative quantum field theory has shown a surprising need for the latest advances in algebraic geometry and combinatorics. The field also incorporates the very actively developed theory of resurgence, which has promising potential for applications to both topology and quantum field theory.

This workshop aims to advance this field by bringing together top experts. The goal is to foster discussions on recent results, encourage collaboration, generate new ideas, explore the connections in perturbative quantum field theory, and offer a platform for junior researchers.

This workshop consists of a fixed list of participants. It is not possible to register.

## Don Zagier erhält den Heinz Gumin Preis

**Höchstdotierter Mathematikpreis in Deutschland geht an Don Zagier**

München, 25. März 2024. Die Carl Friedrich von Siemens Stiftung verleiht den Gumin Preis für Mathematik an Don Zagier, bis 2019 Direktor am Bonner Max-Planck-Institut für Mathematik. Die Stiftung würdigt hiermit die bahnbrechende Forschungsarbeit des Preisträgers zur Zahlentheorie und zur Theorie der Modulformen.

Thomas O. Höllmann, Vorsitzender des Stiftungsvorstands: „Mit Don Zagier geht der Gumin Preis 2024 wieder an einen auf seinen Spezialgebieten seit Jahrzehnten herausragenden Mathematiker. Neben der Zahlentheorie und der Theorie der Modulformen forscht der Preisträger auch im Bereich der Topologie. Letzteres schafft sogar eine kleine Gemeinsamkeit mit der frühen Arbeit Heinz Gumins, dem Namensgeber des Preises. Unser Dank gilt unserer Fachjury, deren sorgfältige Recherche diese Preisverleihung erst möglich macht.“

## Conference on "Arithmetic Geometry", July 22 - 26, 2024

## Conference on "Arithmetic Geometry" in Honour of Gerd Faltings' 70th Birthday, July 22 - 26, 2024

### Due to the great interest in this conference, we will stream most of the talks live via Zoom. The program indicates which talks will be streamed. The talks will __not__ be uploaded on the website later.

**____________________________________**

**Zoom information:**

**Join Zoom Meetinghttps://eu02web.zoom-x.de/j/68653010413Meeting ID: 686 5301 0413Passcode: 952173**

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### Speakers:

Jean-Benoit Bost (Université Paris-Saclay)

Ana Caraiani (Imperial College London)

Christopher Deninger (Universität Münster)

Nikolai Durov (Steklov Mathematical Institute)

Hélène Esnault (Freie Universität Berlin)

Ziyang Gao (Leibniz Universität Hannover)

Toby Gee (Imperial College London)

Michael Harris (Columbia University)

Michael Larsen (Indiana University Bloomington)

Bjorn Poonen (MIT)

Michael Rapoport (University of Bonn)

Peter Scholze (MPIM Bonn)

Jakob Stix (Goethe-Universität, Frankfurt)

Jacob Tsimerman (University of Toronto)

Mingjia Zhang (Princeton University)

Shou-Wu Zhang (Princeton University)

Wei Zhang (MIT)

### Survey talk by:

Robin de Jong (Universiteit Leiden)

### Organisers:

Christian Blohmann (MPIM Bonn)

Christian Liedtke (TU München)

Wiesława Nizioł (Sorbonne Université)

## 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", May 13 - 17, 2024

## 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

The registration is closed.

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