This autumn school will take place during the week 15-19 September 2025 in a conference center close to Utrecht, The Netherlands.
Aims and Scope
The idea of this autumn school is to bring together a group of about 25 participants in a remote place in order to learn about advanced topics in Algebraic Topology. The talks are meant to be accessible to first or second year PhD students.
Lecture series
The following lecture series constitute the core program of the autumn school:
- Joana Cirici: Sheaves in Homotopy Theory and Geometric Applications
Abstract I will explain how to describe rational homotopy types of topological spaces as well as the E-infinity structure on singular cochains, using sheaf-theoretic methods. Then, we will discuss various situations where this approach is useful, mostly for studying homotopy types of algebraic varieties, using mixed Hodge theory and Galois actions in étale cohomology.
- Piotr Pstrągowski: Descent in stable homotopy theory
Abstract The main calculational tool in the context of stable homotopy theory is given by the Adams spectral sequence. The aim of this lecture series is to give a gentle introduction to this topic, both from the perspective of descent and that of an intermediary between stable and abelian categories. In particular, I plan to cover the following:
- The Adams spectral sequence of a ring spectrum, some classical calculations
- Homology theories, epimorphism classes, injective resolutions
- Encoding spectral sequences using deformations of stable infinity-categories
- Applications: monoidality of the Adams filtration, coherent multiplication on Moore spectra.
Registration
The registration deadline has passed, and registration is no longer possible.
We will be able to offer lodging and meals to accepted participants, but we cannot cover any travel expenses.
Travel Information
The autumn school starts Monday 15 September in the morning and ends Friday 19 September around noon, so it is recommended that you arrive already on Sunday 14 September. Travel details will be given in due time before the autumn school.
Organizers
The autumn school is organized by Gijs Heuts, Lennart Meier, Ieke Moerdijk, and Steffen Sagave.