Abstract
A detailed review of the basic concepts of the so-called Golden Mean, along with its main mathematical properties and some of its applications to a number of natural objects and phenomena, as well as many areas of science, technology, art, etc., will be presented. Then, the Fibonacci sequence will be described as well as its numerous uses in a variety of cases, ranging from basic geometrical relationships to Physical Optics, in particular diffraction effects, which allows an analogical approach to complex problems. Also, the scarce examples of the use of these concepts in Fluid Dynamics will be discussed, emphasizing the potential applications to solve non-linear problems. The discovery of quasicrystals and their relevance to periodic and aperiodic tilings will be presented, particularly in terms of the emergence of band gaps in acoustic regimes, will be analyzed under the light of its relevance for noise suppression and anechoic materials and systems. Finally, a prospective analysis of what are the possible scenarios for the utilization of these concepts in other areas, especially Fluid dynamics, will be posed.
About the Speaker
Prof. Víctor M. Castaño is a recognized international leader in several areas of applied science and technology. He holds a B.Sc. degree in Engineering Physics and M.Sc. and Ph.D. in Physics from the Universidad Nacional Autonoma de Mexico. He spent 2 years at IBM´s Thomas J. Watson Research Center in New York as a postdoctoral fellow. He has been a lecturer at the Universidad Nacional Autonoma de Mexico (Faculties of Chemistry, Sciences, Engineering, Accounting and Administration and Dentistry), Universidad Autonoma de Querétaro (Faculties of Engineering, Medicine, Accounting and Administration, Psychology and Law), the Autonomous University of Nuevo León (Faculty of Physico-Mathematical Sciences), the Universidad Iberoamericana, the Instituto Tecnológico de Querétaro, etc. He was the founding Director of the Center for Applied Physics and Advanced Technology of the UNAM in Juriquilla, Querétaro. Prof. Castaño has published more than 750 articles in international refereed and indexed journals, 242 articles in conference proceedings, 22 book chapters, 5 books and 25 patents. It has 678 papers presented at conferences and 51 technical reports to various industries. He has been advisor of over 190 B.Sc., M.Sc., and Ph.D. thesis in Mexico, Peru, Argentina, Colombia, the USA, Canada, Spain and Germany. His work has received over 15,000 citations, especially in the last few years, when some of his pioneering contributions have begun to have great repercussions and have led him to receive international awards and recognitions, and he is one of the most cited Latinamerican scientists in his area. In this respect, it is important to emphasize the fact that Víctor Castaño is an engineer and scientist of great originality, who dares not only to explore subjects that do not represent the fashion of international science but also has the capacity of having his proposals receiving worldwide attention. He is Associate Editor of several prestigious international journals and Editor-in-Chief of Recent Patents in nanoMedicine. He is Treasurer, by election, of the International Council for Materials Education and has been a member of several evaluation commissions in Mexico and abroad (United States, Canada, Spain, Costa Rica, Colombia, Brazil, etc.). Probably the areas where Prof. Castaño is best known is in materials science and biomedicine, where he invented a very extensive line of new materials and technologies for various applications. He has also been strongly involved in the social implications of Science and Technology and he is currently also associated to the M.Sc. Program of Applied Ethics and Bioethics of the Faculty of Law of the Universidad Autonoma de Queretaro.
Host: Professor Leonardo Chamorro
