The author constructs and studies a scheme theoretical version of the Tits vectorial building, relates it to filtrations on fiber functors, and uses them to clarify various constructions pertaining to affine Bruhat-Tits buildings, for which he also provides a Tannakian description.

Buildings can make us sick or keep us well. Diseases and toxins course through indoor spaces, making us ill. Meanwhile, better air quality and light levels improve productivity. At a time when the COVID-19 pandemic has us focused more than ever on indoor air quality, Healthy Buildings shows how much we have to gain from human-centered design.

Filtration of aerosols is omnipresent in our daily lives, in areas as diverse as health, the protection of people and the environment, and air treatment inside buildings. However, the collection of particles within a filter media is not, contrary to popular belief, linked to a simple screen effect. The phenomena involved are much more complex and require the consideration of aerosol interactions, filter media and process conditions to select the best fiber filter for a given application. Aerosol Filtration, book for students, hygiene or process engineers, fibrous media manufacturers, designers, and filtration system suppliers or users addresses the filtration of aerosols in six chapters. These chapters cover physics and aerosol characterization, the fibrous media, and efficiency and filter clogging by solid or liquid aerosols, with special attention to the filtration of the nanoparticles. - Analyses the behavior of fibrous media against solid and liquid aerosols - Presents models of efficiency and pressure drop - Introduces computing elements for estimating the lifetime of filters - Provides guidance for designing filters and predicting their behavior over time

Filters are used in most industries, especially the water, sewage, oil, gas, food and beverage, and pharmaceutical industries. The new edition of this established title is an all-encompassing practical account of standard filtration equipment and its applications. Completely revised and rewritten, it is an essential book for the engineer working in a plant situation-who requires guidance and information on what's available and whether it's suitable for the job. Co-published with the Institution of Chemical Engineers. Co-published with the Institution of Chemical Engineers. - The leading practical engineering guide to filtration techniques, systems and their applications - Meets the needs of all key sectors where filtration is a critical process, including chemical processing and manufacture, food, oil and gas, air-conditioning and water - A comprehensive sourcebook and reference for plant engineers, process engineers, plant designers, filter media and filtration specialists and equipment specifiers

Granular Filtration of Aerosols and Hydrosols is concerned with the fundamental aspects of granular filtration of both liquid and gas suspensions. This book takes a unifying approach to the treatment of granular aerosol and hydrosol filtration. The text begins with the introduction of the process of granular filtration and its various applications. Subsequent chapters discuss the aspects of filtration, such as, the macroscopic description of fixed-bed granular filtration; the methods for making representations based on various porous media models for both clean and clogged filter media; the mechanisms of particle deposition; and the trajectory analysis of particle deposition. The final chapter presents and discusses case studies which deal with predicting and calculating the dynamic behavior of granular filtration of hydrosols and aerosols. Researchers in granular filtration and graduate students dealing with separation technology will find the book highly useful.

Buildings are highly structured, geometric objects, primarily used in the finer study of the groups that act upon them. In Buildings and Classical Groups, the author develops the basic theory of buildings and BN-pairs, with a focus on the results needed to apply it to the representation theory of p-adic groups. In particular, he addresses spherical and affine buildings, and the "spherical building at infinity" attached to an affine building. He also covers in detail many otherwise apocryphal results. Classical matrix groups play a prominent role in this study, not only as vehicles to illustrate general results but as primary objects of interest. The author introduces and completely develops terminology and results relevant to classical groups. He also emphasizes the importance of the reflection, or Coxeter groups and develops from scratch everything about reflection groups needed for this study of buildings. In addressing the more elementary spherical constructions, the background pertaining to classical groups includes basic results about quadratic forms, alternating forms, and hermitian forms on vector spaces, plus a description of parabolic subgroups as stabilizers of flags of subspaces. The text then moves on to a detailed study of the subtler, less commonly treated affine case, where the background concerns p-adic numbers, more general discrete valuation rings, and lattices in vector spaces over ultrametric fields. Buildings and Classical Groups provides essential background material for specialists in several fields, particularly mathematicians interested in automorphic forms, representation theory, p-adic groups, number theory, algebraic groups, and Lie theory. No other available source provides such a complete and detailed treatment.