Lucardesi: On Blaschke-Santalo' diagrams involving the torsional rigidity and the first eigenvalue of the Dirichlet Laplacian.
Lucardesi: A Blaschke-Santalo' diagram is the range of a vector shape functional $(F_1,F_2)$ in $\mathbb R^2$. The determination of such attainable set amounts to completely characterize the relation between $F_1$ and $F_2$. In this talk I will present some recent results obtained in collaboration with D. Zucco, in the case of $F_1$ the first Dirichlet eigenvalue and $F_2$ the inverse of the torsional rigidity, defined on convex shapes with unit volume, and, as a variant, on convex sets with volume at most 1.The study led us to address some very deep questions, whose answers are still open problems: in the last part of the talk, I will list them, together with our conjectures. http://cvgmt.sns.it/seminar/709/
When
Wed Oct 30, 2019 4pm – 5pm Coordinated Universal Time
Where
Sala Seminari (Dipartimento di Matematica di Pisa) (map)
