## 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.

## 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 "Unstable Homotopy Theory"

## Workshop on "Unstable Homotopy Theory", November 11 - 15, 2024

Unstable homotopy theory is about understanding the detailed structure and properties of topological spaces and morphisms between them. Central to this study is the concept of homotopy types (also known as ∞-groupoids, animas, or spaces), which classify topological spaces up to weak homotopy equivalence.

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