The analytic surgery sequence is a long exact sequence of K-theory groups which combines
topological information (the K-homology of manifolds), index theoretic information (the
K-theory of group C*-al...
The Chern character is a central construction which appears in topology, representation
theory and algebraic geometry.
In algebraic topology it is for instance used to probe algebraic K-theory which i...
The theory of conformal blocks provides us with projective representations of the mapping
class group. These can equivalently also be constructed from the point of view of
non-abelian theta functions,...
Sub-Riemannian systems are an important class of nonlinear control systems with linear dependence on controls. Controllability properties for such systems are derived by the so-called Lie Algebra rank...
Quasi-fibered boundary metrics (QFB metrics) form a class of complete metrics generalizing
the class of quasi-asymptotically locally Euclidean metrics introduced by Joyce.
After reviewing what QFB met...
A key tool to study the plane Cremona group is its action on a hyperbolic space. Sadly, in higher rank such an action is not available. Recently, in geometric group theory, actions on CAT(0) cube comp...
The symmetry of solutions of elliptic equations is a classical and challenging problem in PDE, connected with stability. In this talk we are concerned with parabolic equations and we ask whether the 1...
La classificazione di varietà in dimensione bassa è tra i risultati fondamentali della geometria dello scorso secolo. Gli oggetti fondamentali sono divisi in base ad invarianti topologici come la cara...
In higher Teichmuller theory we study subsets of the character varieties of surface groups that are higher rank analogs of Teichmuller spaces, e.g. the Hitchin components and the spaces of maximal rep...
Gaiotto introduced the notion of a conformal limit of a Higgs bundle and conjectured that these should identify the Hitchin component with the Oper stratum in the deRham moduli space. In the case of c...
