Integral PL Actions from Birational Geometry

Explore a fascinating lecture on integral piecewise linear actions derived from birational geometry. Delve into the intricate world of algebraic geometry as speaker Maxim Kontsevich from the University of Miami and IMSA presents a compelling hour-long talk. Discover how the group of birational automorphisms of an N-dimensional algebraic torus, while preserving the standard logarithmic volume element, acts on an N-dimensional real vector space through tropicalization. Examine the extension of this concept to compact Calabi-Yau varieties over non-archimedean fields, utilizing the notion of the "essential EEEE". Investigate examples drawn from generalized cluster varieties and Calabi-Yau varieties that parameterize linkages of regular graphs, gaining insights into the intersection of algebraic geometry, tropical geometry, and mathematical physics.