Descent and chromatic homotopy theory
Strasbourg, 2‐5 September 2019
The aim of this 4-day workshop is to pursue the deep
connections between derived algebraic geometry and chromatic stable homotopy,
with a focus on descent and its applications to
- Picard groups and
to the interaction between chromatic and equivariant stable homotopy theory;
- interactions with modular representation theory;
- implications for asymptotic phenomena in chromatic homotopy theory.
The workshop will bring together experts working on the abstract foundations
as well as concrete computational applications, and aims also at offering an introduction to
these topics for early career mathematicians and interested researchers in
There will be four series of lectures:
Barthel (Copenhagen): Asymptotics in chromatic homotopy theory
- Jesper Grodal
(Copenhagen): Picard groups via categorical decomposition techniques
Meier (Utrecht): Tensor ideals and descent
Stojanoska (Illinois at
Urbana-Champaign): Chromatic and equivariant stable homotopy theory, descent and Picard groups
and invited talks by:
- Agnès Beaudry (Colorado): The Equivariant Dual of Morava E-Theory
Irina Bobkova (Texas A&M):
Paul VanKoughnett (Purdue): K(1)-local tmf cooperations
Viet-Cuong Pham (Strasbourg): Towards the homotopy groups of the K(2)-localization of A(1).
During the first day (2 September), a series of lectures will offer an
introduction to the background material necessary for the main lecture series, including the category of spectra and the language of (stable) infinity categories.
Paul Goerss (Northwestern): The homotopy theory of simplicial sets; homotopy limits and colimits; Dold-Kan; classifying spaces.
Denis Nardin (Paris 13 and Regensburg): Basics of infinity-categories, stable infinity-categories; limits in this setting.
Andy Baker (Glasgow): Spectra; examples and the Adams Spectral Sequence. References (PDF). Slides (PDF).
Kaif Muhammad Borhan Tan (Copenhagen): Basic modular representation theory and the stable module category of a finite group as a tensor-triangular category; Tate cohomology; examples.
Abstracts and Prerequisites
The talks and discussion session on Monday, September 2, will aim to help participants acquire the desired prerequisites for the four mini-series. Of course, everybody is strongly encouraged to acquire as much as possible of these prerequisites before the meeting starts.
Please consult this PDF for the abstracts of the invited talks and the lecture courses, and prerequisites. (Updated 28/08/2019).
Registration is free but mandatory.
- Registration closed officially on 30 June 2019; however, deserving requests via the registration form may still be considered by the organizers.
Some financial support for travel and lodging is available, with priority given to early career mathematicians, in particular PhD students and postdocs. Requests for financial support should be made when completing the registration form.
- The deadline (23 June 2019) for applying for financial support has passed.
If you are applying for financial support, please do not make any accommodation or travel arrangements until you have received further information from us.
Please contact Christian Ausoni or Hans-Werner Henn
if you require further information.
Participants not supported financially by the workshop are expected to arrange their own accommodation (a list of hotels is available here).
The workshop is financed by the ANR project Chromatic
homotopy and K-Theory
, with the support of