In this talk we consider a spatial version of the Marcus-Lushnikov process, which models the evolution of particles that merge pairwise in a series of coagulation events. The particles are equipped wi...
Let \( G \) be a simple algebraic group and \( \mathcal O \subset \mathfrak g = Lie(G) \) a nilpotent orbit. If \( H \) is a reductive subgroup of \( G \), then \( \mathfrak g = \mathfrak h \oplus \ma...
In operator algebra theory central sequences have long played a significant role in addressing problems in and around amenability, having been used both as a mechanism for producing various examples b...
We will discuss a generalized mean curvature flow and relation with the isoperimetric problems. A locally constrained mean curvature flow was introduced by Junfang Li and myself in space forms, Guan-L...
Equations defining projective varieties and their syzygies have been classically studied. In this talk, starting from the case of curves, I will recall several results about syzygies of projective var...
Sasakian geometry is a vibrant field at the intersection of differential geometry, topology, complex geometry, and algebraic geometry, with applications ranging from theoretical physics to geometric a...
We will investigate the effects of the lack of compactness in the critical Folland-Stein(-Sobolev) embedding in the Heisenberg group. In particular, by means of Γ-convergence techniques, we will show ...
Let h be a direct sum of n copies of a simple Lie algebra g. In 1994, Feigin, Frenkel, and Reshetikhin constructed a large commutative subalgbera of the enveloping algebra U(h). This subalgebra, whic...
We will introduce the Stolz sequence and explain how it plays a role in the study of metrics with positive scalar curvature. We shall then extend it to two different contexts: that of (G, F)-spaces, i...
The Green-Lazarsfeld Secant Conjecture is a generalization of Green's Conjecture on syzygies of canonical curves to the cases of arbitrary line bundles. It predicts that on a curve embedded by a line ...
