2025 Workshop

About

The seventh European Talbot workshop will take place in Denmark during the summer of 2025. The goal is to bring together a group of 30-35 graduate students and post-docs to work on a focused topic under the guidance of two senior mentors.

Most of the talks will be given by the participants, with enough free time in the afternoon and evenings for further discussions and interaction. The character of the workshop is expository in nature, starting with the basic ideas and leading to a survey of the most recent developments in the field. Since all participants are staying together at a group house, jointly responsible for cooking and cleaning, we hope to create an informal and inspiring atmosphere.

Topic: Higher algebra and chromatic homotopy theory

Chromatic homotopy theory originated from Quillen’s pioneering work on the connection between complex-oriented cohomology theories and formal group laws. The development of higher algebra has since provided a powerful framework to deepen this interplay, leading to major breakthroughs in stable homotopy theory. Chromatic methods have proven essential in understanding the structure of stable homotopy groups of spheres. This workshop will first introduce the foundations of higher algebra before exploring the structural properties of key objects in chromatic homotopy theory, such as Morava E- and K-theories. 

We plan to cover the following content:

• •  The fundamentals of higher algebra, including stable infinity-categories, (symmetric) monoidal structures, (commutative) algebras, operads, and Koszul duality.

  •  Construction of the basic algebras of interest in chromatic homotopy theory, such as MU, BP, and the Morava E- and K-theories.

  •  Power operations: the Dyer-Lashof algebra and power operations in the K(n)-local setting.

  •  The structure of K(n)-local E_infty-rings and their applications.

Application

The applications are closed now.

Funding

The local expenses for all participants will be covered by the workshop, in particular costs for accommodation and meals . Additional funds covering travel expenses might become available. However, we strongly encourage participants to look for travel funding themselves. 

Contact

For questions or suggestions, please send an email to the organisers at europeantalbot@gmail.com.

This workshop is organised by Daniel Bermudez, Marie-Camille Delarue, Joao Fernandes, Hyeonhee Jin,  Filippos Sytilidis and Maxime Wybouw. We gratefully acknowledge funding and support from the  HCM and DFG via the Junior Research Retreats program and the EMS committee for European Solidarity.