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Explore a cutting-edge lecture on Hilbert-Blumenthal and Bianchi Quaternionic Orbifolds, presented by Alberto Verjovsky at the "Geometry, Topology, Group Actions, and Singularities in the Americas" conference. Delve into recent advancements that extend classical Hilbert-Blumenthal varieties and their cusps to Hamilton quaternions and quaternion algebras over number fields. Gain insights into this ongoing research, conducted in collaboration with Adrián Zenteno from CIMAT, Guanajuato, Mexico. Discover how this work contributes to the vibrant field of group actions in geometry and topology, fostering connections between algebraic topology, algebraic geometry, and mathematical physics across the Americas.
