## Upcoming conferences & activities

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

### Registration:

The registration is closed as of May 20, 2024.

### Speakers:

Bhargav Bhatt (University of Michigan, IAS/Princeton) (tbc)

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

## 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.

## 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.

## Distinguishing Brill--Noether loci

Classical Brill–Noether theory studies linear systems on a general curve in the moduli space $\mathcal{M}_g$ of algebraic curves of genus $g$. A refined Brill–Noether theory studies the linear systems on curves with a given Brill–Noether special linear system.

## Λ-algebras and the algebraic EHP sequence

## A Soft Introduction to TMF

## Equivariant localisation by pseudocycles

For certain groups G, acting on a manifold X, an equivariant localisation theorem relates H_*(X x_G EG) to the homology of the fixed point set of the G-action (for intuition, we use the homotopy quotient X x_G EG as an analogue of the quotient X/G when G does not act freely). This is a great tool to calculate the homology of X x_G EG, but in many cases (such as in symplectic geometry) one would like to apply localisation more generally to fibrations over some homotopy quotient. We will demonstrate that one can reinterpret the classical equivariant localisation theorem (e.g.

## Categorical local Langlands on isocrystals

(jt with D. Gaistgory, A. Genestier and V. Lafforgue) Let F be a local field of equal characteristic and G be a reductive group over F. The conjectural categorical form of the local Langlands correspondence proposed by Fargues and Scholze is an equivalence of categories between on one side the category of $\ell$-adic sheaves on $\Bun_G(X_{FF})$ the stack of $G$-torsors on the Fargues-Fontaine curve and and on the other side the category of coherent sheaves on the stack of $L$-parameters.

## Examples of adic spaces

## Arithmetic jet spaces and the Zilber—Pink conjecture

The Zilber—Pink conjecture is a simultaneous generalisation of the Mordell—Lang conjecture and the Andre

## The universal property of bordism rings of manifolds with commuting involutions

My talk concerns bordism rings of compact smooth manifolds equipped with a smooth action by a finite group. I will start by recalling classical results on the subject from the 60's and 70's, mostly due to Conner-Floyd, Boardman, Stong and Alexander. Afterwards I will discuss joint work with Stefan Schwede in which we prove an algebraic universal property for the collection of all bordism rings of manifolds with commuting involutions.

## Knot Invariants via Manifold Calculus

## Categorical structures and Deligne-Lusztig theory

## 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.

## 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.

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