Next Seminars

Marco Bernardini, Università degli Studi dell'Aquila, November 12, 2026 h 17:30 Aula A 0.4 - Turing

Title: On String Theory and canonical metrics in Hermitian geometry: the Type IIB solitons and the Second Chern-Einstein metrics.

Abstract: Motivated by considerations arising from modern theoretical physics, and in particular from String Theory, we study the solitons associated to the Type IIB flow, a geometric flow whose fixed points exhibit Kähler Calabi–Yau geometry. We systematically investigate the existence of such solitons on six-dimensional nilmanifolds and solvmanifolds. We also discuss the possible variational nature of the flow and, finally, introduce a related class of canonical metrics in Hermitian geometry, known as Second-Chern Einstein metrics, studying their existence as well.