03.07.2025, 16:15
– Raum 1.22
Forschungsseminar Differentialgeometrie
Heat and resolvent expansions in the noncommutative case
Matthias Lesch (Bonn)
It has recently been conjectured that the eigenvalues λ of the Dirac operator on a closed Riemannian spin manifold M of dimension n ≥ 3 can be estimated from below by the total scalar curvature:
<tex>\lambda^2\geq\frac{n}{4(n-1)}\cdot\frac{\int_{M} S}{vol(M)}</tex>
We show by example that such an estimate is impossible.