Homotopy theory, derived categories, and quadratic forms

June 29 - July 3, 2026

Faculté des Sciences Jean Perrin, Lens (FRANCE)


Organizing committee:   B. Calmès     I. Dell'Ambrogio     A. Laghribi     A. Touzé.


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The Mini Course Poster


This mini course on homotopy theory, derived categories and hermitian forms aims to gather specialists in these areas and to foster interaction, especially between confirmed and young researchers. This event is organized by the Algebra and Geometry team of the Laboratoire de Mathématiques de Lens, and is supported by the Fédération de Recherche Mathématique des Hauts-de-France, the Université d'Artois in the framework of the BQR support (Bonus Qualité Recherche), and the Réseau Thématique 2171 of CNRS "Topologie Algébrique et Géométrique".

The program includes three 5-hours courses, and a few short talks.

Courses:

Paul Balmer (University of California at Los Angeles): Tensor-triangular geometry of permutation modules.

Yonatan Harpaz (Institut de Mathématiques de Jussieu): Trace methods for hermitian K-theory.

Thomas Unger (University College Dublin): Real algebraic aspects of algebras with involution.



Short talks:

Oumaima El Aouny (ENS (Casablanca), Université Hassan II): Derived Kan extensions and higher differentials.

Yorick Fuhrmann (University of Warwick): Profinite Borel completeness and smooth Artin motives.

Samuel Lerbet (ENS, Paris): Splitting vector bundles on real algebraic varieties.

Ilan Levin (Bar-Ilan University): Invariant for sets of Pfister forms.

Fatima Maayane (ENS (Casablanca), Université Hassan II): Bisimplicial projective resolutions for relative derived functors: Totalization, diagonal models, and comparison.

Daniel Marlowe (University of Warwick): Verdier sequences for exact ∞-categories.

Jean Paul Schemeil (University of Nottingham): From permutation modules to quadrics: some lower bounds in motivic tt-geometry.





Laboratoire de Mathématiques
de Lens