Lattices and Cohomology of Arithmetic Groups: Geometric and Computational Viewpoints (Online) (21w5205)

The Banff International Research Station will host the "Lattices and Cohomology of Arithmetic Groups: Geometric and Computational Viewpoints" workshop in Banff from STARTDATE to ENDDATE.

A lattice is a discrete collection of regularly ordered points in
space. Lattices are everywhere around us, from the patterned stacked
arrangements of fruits and vegetables at the grocery to the regular
networks of atoms in crystalline compounds. Today lattices find
applications throughout mathematics and the sciences, applications
ranging from chemistry to cryptography and Wi-Fi networks.

The focus of this meeting is the connections between lattices and
number theory and geometry. Number theory, one of the oldest branches
of pure mathematics, is devoted to the study properties of the
integers and more sophisticated number systems. Lattices and number
theory have many deep connections. For instance using number theory
it was recently demonstrated that certain packings of balls in high
dimensions are optimally efficient. Lattices also appear naturally
when one studies certain spaces that play an important role in number
theory; one of the main focuses of this meeting is to investigate
computational and theoretical methods to understand such spaces and to
expand the frontier of our algorithmic knowledge in working with them.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).