Seminars

The GAMP seminar serves as a forum for researchers associated to the group to present their research interests to the community. The talks are intended for a general mathematical audience. All the times below are in Lebanon time (+3GMT).

  • Tuesday January 21, 2020 at 2:00 PM: Florian Bertrand
    Place: AUB, BLISS 206
    Title: Introduction to invariant metrics
    Abstract: In this talk, I will survey some of the classical biholomorphically invariant metrics defined on domains in the complex Euclidean space. These metrics and related objects are particularly adapted to study holomorphic maps or the geometry of the corresponding domain.

 

  • Tuesday September 29, 2020 at 2:00 PM : Rafael Andrist
    Place: Zoom meeting (click here)
    Title: Vector fields, flows, and automorphisms
    Abstract: We review the notions of vector fields and their flows. Complete vector fields give rise to automorphisms. In the algebraic category, complete vector fields are locally nilpotent derivations, and we can use this well-developed theory to find an abundance of automorphisms.
  • Tuesday December 08, 2020 at 2:00 PM : Alfonso Garmendia
    Place: Zoom meeting (click here)
    Title: Monodromy and Holonomy groupoid for singular foliations
    Abstract:The holonomy groupoid of a singular foliation, given in complete generality by Androulidakis and Skandalis, has been an object of intense study since its appearance. In this talk, I will describe a new construction for this groupoid following the strategy of the classical construction for regular foliations, using paths, and mirroring the integration of Lie algebroids via paths (per Crainic and Fernandes). In this way, there is a characterization of the holonomy and fundamental groupoids of a singular foliation that more clearly reflects the homotopic character of these invariants.

 

  • Tuesday February 09, 2021 at 2:00 PM : Georges Habib
    Place: Zoom meeting (click here)
    Title: Cohomology on foliations.
    Abstract:In this talk, we review the notion of cohomology in the context of foliation. In particular, we define the basic cohomology and the antibasic cohomology and we study the properties for each one.  This is a joint work with Ken Richardson, Texas Christian University.

 

  • Tuesday April 06, 2021 at 2:00 PM : Ihsane Malass
    Place: Zoom meeting (click here)
    Title: The perturbed analytic torsion on a manifold with boundary Abstract: This talk concerns the analytic torsion on a Riemannian manifold associated with the de Rham complex. We perturb the de Rham complex by a closed odd form; the resulting analytic torsion then involves a zeta-determinant of the associated perturbed de Rham-Laplace operator. The variation of the perturbed analytic torsion in the boundaryless case had been studied by Mathai and Wu, leading to a generalization of the well-known invariance of the analytic torsion under a variation of the underlying metric. Following work by Cheeger,  we  investigate how the presence of a boundary  affects these results.

 

  • Tuesday June 08, 2021 at 2:00 PM : TBA
    Place:
    Title: TBA