In optimal mass transport theory, many problems can be written in the Monge-Kantorovich form $$ \inf\{ \int_{X\times Y} c(x,y) \, d\gamma \ :\ \gamma\in \Pi(\mu,\ u)\}\ ,\eqno(1) $$ where $\mu,\ u$ are given probability measures on $X,Y$ and…
Eventi
Intrinsic regular surfaces of low co-dimension in Heisenberg groups – Francesca Corni (Universita’ di Bologna)
In Heisenberg groups, and, more in general, in Carnot groups, equipped with their Carnot- Carathodory metric, the analogous of regular (Euclidean) surfaces of low co-dimensionkcan be consideredG-regular surfaces (H-regular ifG=Hn), i.e. level sets…
Supports of the Hitchin fibration on the reduced locus – Luca Migliorini (University of Bologna)
I’ll discuss some work in progress in collaboration with M.A. de Cataldo and J. Heinloth. Let $C$ be a nonsingular projective curve of genus $> 1$, and let $n$ and $d$ be two coprime integers. Given the moduli space $\mathcal{M}$ of stable Higgs…
Vector bundles on Fano threefolds and $K3$ surfaces – Arnaud Beauville (Université Côte d’Azur, Nice)
Let $X$ be a Fano threefold, and let $S$ be a smooth anticanonical surface (hence a $K3$) lying in $X$. Any moduli space of simple vector bundles on $S$ carries a holomorphic symplectic structure. Following an idea of Tyurin, I will show that in…