Perverse Sheaves on Varieties with Large Fundamental Group

Explore a rigorous mathematical lecture on perverse sheaves and their applications in complex geometry. Delve into Botong Wang's discussion of a generalized Singer-Hopf conjecture in the Kähler setting, focusing on perverse sheaves on compact aspherical Kähler manifolds. Examine the proof of this conjecture under the condition of a fundamental group with a faithful semi-simple rigid representation. Investigate the connection between this proof and ideas from the Shafarevich conjecture. Learn about the collaborative work between Wang and Donu Arapura in this advanced exploration of algebraic geometry and topology.