Tobias Braun - Orthogonal Determinants
Basic concepts and notions of orthogonal representations are introduced. If X : G → GL(V ) is a K-representation of a nite group G it may happen that its image X(G) xes a nondegenerate quadratic
Mon compte
Pas encore inscrit ?
Basic concepts and notions of orthogonal representations are introduced. If X : G → GL(V ) is a K-representation of a nite group G it may happen that its image X(G) xes a nondegenerate quadratic
Motivated by a series of conjectures of Mazur, Rubin and Stein, the study of the arithmetic statistics of modular symbols has received a lot of attention in recent years. In this talk, I will
By a result of Church-Putman, the rational cohomology of $\operatorname{SL}_n(\mathbb{Z})$ vanishes in "codimension one", i.e. $H^{{n \choose 2} -1}(\operatorname{SL}_n(\mathbb{Z});\mathbb{Q}) = 0$
A major achievement of modern number theory is the proof of a bijection between odd, irreducible, 2-dimensional Artin representations and holomorphic weight 1 Hecke eigenforms. Despite this result,
Selmer groups attached to a p-adic Galois representation have been studied thoroughly, but their mod p cousins have so far received less attention. In this talk we explain the construction of the p
Mean curvature flow is the gradient flow of the area functional and constitutes a natural geometric heat equation on the space of hypersurfaces in an ambient Riemannian manifold. It is believed,
We study the noncollapsed singularity formation of Einstein 4-manifolds. We prove that any smooth Einstein 4-manifold close to a singular one in a mere Gromov-Hausdorff (GH) sense is the result
Théorèmes récents de convergence plane intrinsèque
We present a new compactness theory of Ricci flows. This theory states that any sequence of Ricci flows that is pointed in an appropriate sense, subsequentially converges to a synthetic flow.
The goal of the talk is to present a recent work in collaboration with Cavalletti (SISSA) on optimal transport in Lorentzian synthetic spaces. The aim is to set up a “Lorentzian analog” of the
The theory of non smooth spaces with lower Ricci Curvature bounds has undergone huge developments in the last thirty years. On the one hand the impetus came from Gromov’s precompactness theorem
In this talk, I will discuss some recent developments on the topology of closed manifolds admitting Riemannian metrics of positive scalar curvature. In particular, we will prove if a closed PSC