Euler characteristics of aspherical Kähler manifolds

Donu Arapura (Purdue University)

21-Oct-2021, 17:00-18:00 (2 years ago)

Abstract: This is joint work with Botong Wang. I want to start by recalling the Hopf-Singer conjecture on the sign of the Euler characteristic of a compact aspherical manifold. In the K\”ahler setting, we have a stronger conjecture involving Euler characteristics of perverse sheaves. Our results are that the stronger conjecture holds when X is compact K\”ahler with nonpositive curvature, or X is aspherical projective with a faithful rigid local system. I will sketch the proofs, and describe with some illustrative examples.

algebraic geometry

Audience: researchers in the topic


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