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La donazione Alfonso Vignoli e la matematica nella Russia del secolo scorso

La donazione Alfonso Vignoli e la matematica nella Russia del secolo scorsoIncontro di ​​​​​​presentazione del fondo di libri russi donato dalla dott.ssa Lucilla Vespucci (appartenuto al marito, ...

Complete cohomogeneity one solitons for G_2 Laplacian flow

Bryant’s Laplacian flow is an analogue of Ricci flow that seeks to flow an arbitrary initial closed G_2-structure on a 7-manifold toward a torsion-free one, to obtain a Ricci-flat metric with holonomy...

On moduli spaces of Fano varieties and their singularities

Fano varieties are projective varieties with “positive curvature”. Examples of Fano varieties are projective spaces, products of projective spaces, Grassmannians and hypersurfaces in projective spaces...

Non-commutative Iwasawa theory of abelian varieties

Non-commutative Iwasawa theory has emerged as a powerful framework for understanding deep arithmetic properties over number fields contained in a p-adic Lie extension and their precise relationship to...

Modular vector bundles on the Fano variety of a cubic fourfold

In this talk I will report on a joint work in progress with E. Fatighenti, in which we study some special vector bundles on the Fano variety of lines of a cubic fourfold. We will see that these bundle...

Cluster algebras and knot theory

Cluster algebras are commutative algebras with a special combinatorial structure. A cluster algebra is a subalgebra of a field of rational functions in several variables that is generated by a disting...

Decomposing a reductive group into strata

Let G be a reductive connected group over an algebraically closed field of characteristic p . Of particular importance in the study of G is the set u(G) of unipotent conjugacy classes. It is known tha...

Brauer groups of moduli problems and enumerative geometry

The Brauer group, classifying Azumaya algebras up to Morita equivalence, is a fundamental invariant in number theory and algebraic geometry. Given a moduli problem M (e.g. smooth curves of a given gen...

Hausdorff dimension of hyperconvex representations of surface groups

A discrete and faithful representation of a surface group in PSL(2,C) is said to be quasi-Fuchsian when it preserves a Jordan curve on the Riemann sphere. Classically these objects lie at the intersec...

Asymptotic Geometry in SOL

SOL is one of Thurston's eight classical homogeneous Riemannian geometries, possibly the most exotic one. To get some insight of this geometry, it might be helpful to visualize the shape of a large sp...
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