Lucas Yudi Hataishi
Quantum groups, Operator Algebras, Monoidal Categories, Dynamical Systems
Bachelor degree in physics (State University of Londrina, Brazil)
Master Degree in Mathematics ( Federal University of Porto Alegre, Brazil)
The involution kernel and the dual potential for functions in the Walters' family (arXiv:2206.00996)
joint work with A. O. Lopes.
Injectivity for algebras and categories with quantum symmetry (arXiv:2205.06663)
joint work with M. Yamashita.
Noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of Drinfeld doubles (arXiv:2105.03175)
joint work with E. Habbestad and S. Neshveyev (accepted for publication at JMPA)
Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs: theory and examples (arXiv:1804.01362)
joint work with A. Lopes, L. Cioletti and M. Stadlbauer.
Danish-Norwegian Operator Algebras, Trondheim, Nov. '21: Boundary Actions, Drinfeld Doubles and Free Unitary Quantum Groups;
QGS, Online, May '22: Yetter-Drinfeld algebras, module categories and injectivity;
Seminar talk at Leuven Operator Algebras Group, June'22: Injective Envelopes of C*-module categories;
Operator Algebras: Subfactors, K-theory and CFT, Wales July'22: Injective envelopes of C*-module categories and boundary theory;
Noncommutative harmonic analysis and quantum groups, Sep. '22: Categorification of Yetter-Drinfeld structures.
Organization of events
YMC*A 2022, Oslo, Norway.
Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs: theory and examples (preprint on arXiv)
Noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of Drinfeld doubles (preprint on arXiv; accepted for publication in Journal de Mathématiques Pures et Appliquées)