Geometrical Methods, non Self-Adjoint Spectral Problems, and Stability of Periodic Structures (17w5044)

Arriving in Oaxaca, Mexico Sunday, June 18 and departing Friday June 23, 2017


(University of Michigan)

(University of Illinois at Urbana-Champaign)

(Universidad Nacional Autónoma de México)


The first goal of the workshop is to bring together experts working on various aspects of self-adjoint and non-self-adjoint spectral problems arising in applied mathematics, with an emphasis on geometric, topological and analytical methods being developed in other contexts by (possibly) different researchers. By bringing together researchers who work on related problems in different fields we will be providing a forum for the exchange of innovative ideas as well as laying the groundwork for unifying the different methodologies into a cohesive whole.

As a practical plan for implementing the first goal, we propose to (and in some cases we already have done so) specifically reach out to two types of potential workshop participants: those with experience and expertise in applied spectral problems, and those working rather on problems of applied geometry and topology. We will solicit talks in these two areas and try to arrange the schedule of the workshop so that presentations in the two areas are interleaved, thereby maximizing the opportunity for exchange of ideas.

The second goal of the workshop is to provide younger researchers, at the doctoral and postdoctoral levels, with the opportunity to expand their knowledge and expertise in the subject, and to collaborate with experts. The workshop will provide a forum where researchers at all levels of experience in related fields can get together to exchange ideas, to foster collaborations, and to accelerate the development of new theories.

In connection with the second goal, several of the researchers we have contacted about our proposed workshop are working in or have close contact with collaborators in Mexico or central and South America, and as such the workshop would provide a unique opportunity for students of these and other researchers in countries not as well-represented in many international meetings to interact with a larger scientific community. Naturally, the potential for our workshop to make an impact in this direction would be maximized if it were held at the Casa Matem\'atica Oaxaca facility of BIRS, but we will encourage participation of students and young researchers regardless of where the workshop is ultimately to be held.