Participant Testimonials

Oct 27 - Nov 01, 2019

Thank you very much for giving me the opportunity to attend the recent meeting organized by Vestislav, Anna, Duong and Dan. I have yet to write to them to thank them personally, but I shall be doing so in the near future. This was my first visit to BIRS, and I was delighted with absolutely everything that I found there: Banff is extraordinary, as is the Banff Centre. All the staff there were extremely nice and helpful, and that is especially true of the BIRS staff and administration: the facilities were outstanding, and the atmosphere highly congenial. I really cannot think of a negative thing to say about the entire experience of being there. I did not give a talk at the conference, mainly because the work that I've been doing in recent years has focussed on Koehler geometry. A few years ago I did a lot of work in the area of non-Kaehler geometry, but found myself very stuck on a difficult problem. That problem, still unresolved, was discussed at length by a number of the speakers, and it was extremely useful for me to see the progress that has been made towards solving it. In addition, I learned a great deal about what others have been doing in related areas, and I found my interest in some of those greatly piqued thanks to the excellent presentations of some of the speakers. I am currently in the process of trying to write up some results in Kaehler geometry, but I am very much looking forward to the chance to get back to that problem I mentioned on the other side of the divide, having had a number of new ideas stimulated by talks at the conference. So for me, the bridging of the gap between the Kaehler and non-koehler worlds that occurred as a result of having been at BIRS may, I very much hope, result in significant advances towards solving my problem and hence giving everyone better insight into the structure of non-Kaehler manifolds. So again, I would like to thank you and the organisers of the conference for having afforded me the extraordinary opportunity to attend.

Nicholas Buchdahl University of Adelaide

The content of this conference was interesting and helpful for my research in complex Geometry. I hope that in the future I will be able to attend others on this subject. I thank BIRS for the general organization and quality of the food.

Georges Dloussky professor emeritus
Mathematics, Aix-Marseille University

The conference was at the highest scientific level. Many interesting new results both from the talks and by direct discussions with the participants. In particular, new contacts with possible collaborations emerged. It is also clear to me that the presentation given by my postdoc received very good attention from the experts in the field who have already contacted her and encouraged to apply for positions at their institution.

Massimiliano Pontecorvo Full Prof.
Matematica e Fisica, Università Degli Studi Roma Tre

Thank you very much for giving us the opportunity to organise a very fruitful workshop at the BIRS! Complex geometry is a very productive field that has seen major advances in the past 10-15 years in both Kaehler and non-Kaehler geometry. This BIRS workshop brought together prominent mathematicians who presented results that lie at the interface between Kaehler and non-Kaehler geometry. On the one hand, quite a few talks were about geometric flows, which have constituted a very active area of research since the resolution of the Poincaré Conjecture by Perelman. One talk presented applications to the SYZ (Strominger-Yau-Zaslov) approach to Mirror Symmetry, another active area of research that bridges the gap between Kaehler and non-Kaehler geometry. On the other hand, there were talks about more topological and/or cohomological approaches to geometry, such as Riemann-Roch-type theorems, a new method for investigating cohomology via squares and zigzags and a new way to define a Froelicher-type spectral sequence in the almost complex setting. In between, we had quite a few talks about special metrics in complex geometry that share some properties with the Kaehler metrics but are more general, hence found more often. These include balanced, Gauduchon, SKT, locally conformally Kaehler (lck) and strongly Gauduchon metrics and were given both an analytic treatment (there was one talk about geometric flows in the context of special metrics) and a geometric treatment (two talks were explicitly about the geometric properties of lck metrics). Many participants also had very productive private discussions about ongoing collaborations. In my case, I could work with at least three collaborators at different stages of current and future collaborations. On behalf of the organisers of this workshop, I wish to thank you again for the wonderful opportunity you gave us to organise this productive and stimulating workshop.

Dan Popovici Institut de Mathematiques de Toulouse, Universite Paul Sabatier