Prossimi seminari del Dipartimento di Matematica

In questo seminario si racconterà la matematica nascosta dietro ai lavori degli studenti del laboratorio PLS Metodi Matematici per l'Animazione https://pls.unibo.it/projects/1

In this talk we study sections of the relative Picard bundle associated with a family of smooth curves of genus $g\geq 2$ via the rank of the associated normal function. Using Griffiths’ formula for the infinitesimal invariant together with higher-order Schiffer variations, we derive a numerical inequality relating the rank, the minimal support of a representing divisor, and the modular dimension of the family. When the modular map is dominant, we obtain a sharp classification of the equality case: equality occurs only for multiples of odd theta characteristics or for the canonical section. This is a joint work with Gian Pietro Pirola.

Si veda l'allegato.

In questa conferenza ludica e molto interattiva, cercheremo di spiegare i sistemi formali (assiomi, teoremi, ipotesi, controesempi, geometrie euclidea e non euclidee) applicandoli al semplice gioco del gomoku. In seguito il circolo bolognese di go vi proporrà di testare il gomoku e di scoprire il go, il gioco che ha segnato una svolta decisiva nello sviluppo dell’intelligenza artificiale.

The classical Gauss curvature flow was introduced by Firey in 1974 as an idealized model for the abrasion of convex stones under random collisions on a beach. In 1985, Kai-Seng Chou proved that convex hypersurfaces contract to a point in finite time under this flow. Later, in 1999, Ben Andrews showed that in two dimensions the rescaled flow converges to a round sphere. Subsequent works by Ben Andrews, Bennett Chow, Pengfei Guan, Lei Ni, and Brendle-Choi-Daskalopoulos established analogous convergence results in higher dimensions, as well as for the power Gauss curvature flow. In this talk, based on joint work with Xinqun Mei and Guofang Wang, we present convergence results for capillary variants of the Gauss curvature flow and power Gauss curvature flow under hydrophilic case.