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Explore a 46-minute lecture on real invariants in arithmetic geometry and theta series, presented by Jean-Benoît Bost from Université Paris-Sud at the Fields Institute. Delve into topics such as geometric stability theory, tame geometry, algebraic geometry, Euclidean lattices, and dual lattices. Examine competing invariants, H0 Theta, Archimedean geometry, quasicurrent shift, and chronological invariants. Investigate the covering radius and a special theorem related to the subject matter. Gain insights from this workshop presentation, which is part of the "From Geometric Stability Theory to Tame Geometry" series.
Syllabus
Introduction
Outline
The notion of X
Algebraic Geometry
Euclidean Lattice
Dual lattice
Euclidean lattices
Two competing invariants
H0 Theta
Archmedian Geometry
Quasicurrent Shift
Chromalogical Invariant
Covering Radius
Special Theorem
Taught by
Fields Institute