Geometric Representation Theory

The aim of this course is to get familiar with the theory of perverse sheaves and understand the BBDG decomposition theorem, which lies in the heart of the theory. Although the focus are perverse sheaves, which emerged from both the works in intersection of cohomology and algebraic analysis, the reading course is called geometric representation theory as we will later shift attention to applications of perverse sheaves to representation theory. 

Organizer: Diana Bergerova

Schedule: 

The groups meets every Thursday at 10:00-12:00.

  • [09/10] Week 1: Diana Bergerová – Motivation (slides)
  • [16/10] Week 2: Diana Bergerová – Intersection homology via chain complexes (notes)
  • [23/10] Week 3: Emanuel Roth – Local systems and the category of constructible sheaves (notes)
  • [30/10] Week 4: Ruth Raistrick – Perverse sheaves, cohomology, and the decomposition theorem (notes)
  • [06/11] Week 5: Scott Warrander – Verdier duality, six functor formalism, and intersection cohomology via intermediate extensions
  • [13/11] Week 6 – Nearby and vanishing cycle functors
  • [20/11] Week 7 –
  • [27/11] Week 8 – 
  • [04/12] Week 9 –
  • [11/12] Week 10 –

Lecture notes