Kazhdan and Lusztig introduced their eponymous polynomials for a Coxeter group W in 1979. Shortly thereafter, Lascoux and Schuetzenberger studied Kazhdan-Lusztig polynomials for Grassmannians and show...
Artin groups are a generalization of braid groups, and arise as the fundamental groups of configuration spaces associated with Coxeter groups. A long-standing open problem, called the K(Π,1) conjectur...
We study the degenerations of conical Kähler-Einstein metrics when the cone angle becomes small. In particular, in the Fano case, we solve a question of Donaldson (2012). Joint work with Henri Guenanc...
A divisibility sequence is a sequence of integers d_n such that, if m divides n, then d_m divides d_n. Bugeaud, Corvaja, Zannier showed that pairs of divisibility sequences of the form a∧n−1 have only...
We discuss a parametrization for the moduli space of Constant Mean Curvature (CMC)immersions of a closed surface S (orientable and of genus at least 2) into hyperbolic 3-manifolds by elements of the t...
I plan to discuss the construction of Baxter Q-operators within the framework of the Quantum Inverse Scattering Method. The method follows the standard procedure for the transfer matrix construction o...
We study the relationship between metric and algebraic structures on section rings of polarized projective manifolds. More precisely, we prove that once the kernel is factored out, the multiplication ...
One of the most fundamental unsolved problems in representation theory is to classify the set of irreducible unitary representations of a real reductive Lie group. In this talk, I will define a class ...
Lo scopo del seminario è quello di esporre la recente dimostrazione di June Huh della log-concavità dei coefficienti del polinomio cromatico di un grafo. Quest'anno June Huh è stato premiato con la me...
Suppose a group acts on a manifold and the action can be lifted to a principal bundle over it. We consider invariant connections and their gauge equivalence classes. When the base space is a single gr...
