The Systolic Geometry of Arithmetic Locally Symmetric Spaces

Explore the intricate world of arithmetic locally symmetric spaces in this 45-minute lecture by Benjamin Linowitz, part of the "Zariski Dense Subgroups, Number Theory and Geometric Applications" program at the International Centre for Theoretical Sciences. Delve into the systolic geometry of these mathematical structures, examining their properties and relationships. Gain insights into the intersection of number theory, algebraic geometry, and differential geometry as Linowitz discusses recent advancements in the field. Learn about the applications of these concepts to various areas of mathematics, including the study of fake projective planes, isospectral spaces, and expanding graphs. Engage with cutting-edge research and open problems in this fascinating area of mathematics, contributing to your understanding of Zariski-dense subgroups and their geometric implications.