Lucas Yudi Hataishi

Academic interests

Quantum groups, Operator Algebras, Monoidal Categories, Dynamical Systems

Background

Bachelor degree in physics (State University of Londrina, Brazil)
Master Degree in Mathematics ( Federal University of Porto Alegre, Brazil)

Preprints

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.

Talks

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.