Abstract: Faces of convex sets generalise the notion of faces of polytopes (such as vertices, edges and facets). Many structural properties of convex sets can be expressed via faces and their arrangements. In particular, some regularity conditions that guarantee good performance of optimisation methods can be expressed in terms of facial structure. I will mention some classical and recent results related to the facial structure of convex sets, and will illustrate the impact of facial structure on the performance of numerical methods using the recent counter-example to De Pierro's conjecture about the convergence of under-related cyclic projections.
The first Latin American Week on Coding and Information consists of a three-day school followed by a three-day workshop.
Students can apply for the whole week program and researchers for the workshop.
Our aim is to bring together researchers in all aspects of coding and information theory from all over the world, with special emphasis on Latin American researchers. The program aims to be attended by mathematicians, engineers and computer scientists.
Workshop Submission: Those wishing to contribute with a talk in the workshop, are invited to submit a 4-6 extended abstract. After the conference, authors of accepted abstracts will be invited to submit a full paper for the proceedings to appear as a special issue of the journal "Advances in Mathematics of Communications". Contributions will be thoroughly refereed.
School application: Students can apply for a grant that will cover the lodging expenses during the Lawci. Applications are open until April 17, 2018. Through the support of the IEEE – ITSociety, we will be able to support a limited but significant number of students, with priority for graduate students (in Electrical Engineering, Mathematics and Computer Science) from Latin American countries. For those that do not need or will not be granted with the support, the organizers will suggest non-expensive lodging places within a walking distance from the Campus.