Modular representations and geometry, 10

algebraic geometryrepresentation theory

Audience: researchers in the topic

Modular representations and geometry

Series comments: For the Zoom link, please email the curator. Links to recordings of the lectures will be posted in the section "Invités" of the CATORE research network.

Representations of reductive algebraic groups and their Lie algebras over fields of positive characteristic is a central topic in representation theory. Its recent active progress has uncovered or enhanced strong connections to geometry of perverse sheaves, theory of $D$-modules and derived algebraic geometry and (local) geometric Langlands duality. After a review of foundations of the subject the course will proceed to the recent and current developments. The course will be accessible to doctoral students, while the material would be relevant to mathematicians of any level working in this and adjacent areas.