Classification, Reduction and Stability of Toric Principal Bundles by Indranil Biswas

Explore the intricacies of toric principal bundles in this comprehensive lecture by Indranil Biswas. Delve into the classification, reduction, and stability of these mathematical structures as part of the "Zariski Dense Subgroups, Number Theory and Geometric Applications" program. Gain insights into the latest advancements in the theory of arithmetic and Zariski-dense subgroups, with applications to algebraic and differential geometry, combinatorics, and related fields. Examine techniques from algebraic and analytic number theory, as well as the arithmetic theory of algebraic groups, used to address long-standing problems in mathematics. Discover how these concepts connect to topics such as fake projective planes, isospectral and length-commensurable locally symmetric spaces, and expanding graphs. Engage with cutting-edge research on bounded generation, stability, and asymptotic cohomology, while exploring new approaches to Bruhat-Tits theory and groups with good reduction.