The format will be an online conference with synchronous talks held on Zoom. The conference will be held on May 27-29, 2025 and consist of seven total talks (45 to 50 min talk + Q&A). Our five confirmed speakers are:

• Nicolina Istrati (University of Angers)

• Alexandra Otiman (Aarhus University)

• Liviu Ornea  (University of Bucharest)

• Francesco Pediconi (Politecnico di Torino)

• Giovanni Placini (University of Cagliari)

Liviu Ornea will give an introductory lecture on the topic on May 27th, followed by five research-oriented talks on May 28th and 29th, one from each of the speakers.

Schedule

To accommodate audiences in the Americas and in Europe, the talks are scheduled in the afternoon in Europe, between 3pm and 6pm CET, equiv. 9am to 12am ET.

Tuesday 27 

3pm - 5pm Introductory lecture by Liviu Ornea

Wednsday 28

3pm - 4pm Alexandra Otiman 

4pm - 5pm Francesco Pediconi 

5pm - 6pm Giovanni Placini 

Thursday 29

3pm - 4pm Liviu Ornea

4pm - 5pm Nicolina Istrati 

Talks

Nicolina Istrati The Lee group of a Vaisman manifold

The Lee group of a Vaisman manifold is the complex Lie group generated by the Lee vector field. It depends only on the complex structure of the manifold, and has properties which uniquely identify it as a subgroup of the biholomorphism group. This allows one for instance to show that among all Hopf manifolds, only the diagonal ones admit Vaisman metrics.  

I will survey different properties related to the Lee group, particularly focusing on how to interpret its compactness. Then I will explain how special deformations of the complex structure produce a compact Lee group. Finally, I will point out different conditions which imply a priori compactness of the Lee group.

Liviu Ornea Bimeromorphic properties of LCK manifolds

I shall review two recent results obtained jointly with Misha Verbitsky concerning the existence of the minimal model for comapct LCK manifolds with potential and the non-existence of balanced metrics on all compact complex manifolds bimeromorphic with known LCK manifolds.

Alexandra Otiman Cohomology of lcK manifolds

We discuss cohomology properties of the known classes of examples of locally conformally Kähler manifolds.

Francesco Pediconi A moment map for twisted-Hamiltonian vector fields on locally conformally Kähler manifolds

According to Fujiki and Donaldson's foundational work, the scalar curvature of Kähler metrics arises as a moment map for an infinite-dimensional Hamiltonian action. In this talk, we generalize this result to the broader framework of locally conformally Kähler Geometry. This is joint work with D. Angella, S. Calamai, and C. Spotti.

Giovanni Placini Approximating Vaisman metrics by immersions into Hopf manifolds

Inspired by a classical results of Tian on approximations of Kähler metrics on compact manifolds by Kodaira embeddings, we will discuss the analogous problem for compact Vaisman manifolds into their model spaces, that is, Hopf manifolds. We will relate this result to several embedding results for compact Vaisman manifolds and their relation to Sasakian immersions.