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,...
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...
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...
I will compare work of Formanek on a certain construction of central polynomials with that of Collins on integration on unitary groups. These two quite disjoint topics share the construction of the sa...
To any polarized variety (X,L) is associated a section ring R. I will explain the relation between suitable classes of norms on R and functions on the Berkovich analytification of X. Time permitting, ...
I will try to explain and motivate the notion of Lefschetz (exceptional) collections in derived categories of coherent sheaves and their residual categories and, in particular, its conjectura relation...
We make a universal construction of Bruhat-Tits group scheme on wonderful embeddings of adjoint groups in the absolute and relative settings of adjoint Kac-Moody groups. These group schemes have natur...
