Disputation: Lucas Yudi Hataishi

Doctoral candidate Lucas Yudi Hataishi at the Department of Mathematics will be defending the thesis Quantum symmetries implemented by quantum groups and unitary tensor categories for the degree of Philosophiae Doctor .

picture of the candidate

Doctoral candidate Lucas Yudi Hataishi.

The PhD defence will be partially digital, in room 1259, Abels Utsikt - Niels Henrik Abels hus and streamed directly using Zoom. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.

Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence. If you would like to ask a question, click 'Raise hand' and wait to be unmuted.

Trial lecture

23rd of November, time: 10:15 am, room 1259 (Abels utsikt) and zoom.

Quantum computing vs traditional computing:  current status and predictions for the next 50 years

 
  • Join the trial lecture
    The webinar opens for participation just before the trial lecture starts, participants who join early will be put in a waiting room. 
 
Main research findings 

Operator algebras were born out of the attempt to give mathematically rigorous foundations to quantum mechanics, and its development has been higly influenced by the mathematical approaches to understanding quantum field theories. Symmetries, central characters in physics, are understood in these approaches as symmetries of operator algebras. With the changes of paradigms concerning symmetries in physics, there came changes of paradigms regarding the concept of symmetries of operator algebras.

This thesis elaborates on two main ideas: actions of quantum groups and C*-tensor categories. One can think of those as extensions to the category of noncommutative topological spaces of group theory and representation theory, respectively.

The topics we cover are: boundary actions, equivariant injectivity, Yetter-Drinfeld C*-algebras and factorization homology.

Adjudication committee

  • Associate Professor Roland Vergnioux, UniversiteĢ de Caen Normandie, France
  • Associate Professor Adrien Brochier, UniversiteĢ Paris Diderot, France
  • Associate Professor Tuyen Truong, University of Oslo

Supervisors

Chair of defence

Head of Department Geir Dahl.

Host of the session

Associate Professor Tuyen Truong, University of Oslo

 

Organizer

Department of Mathematics
Published Nov. 9, 2023 10:01 AM - Last modified Apr. 24, 2024 10:03 AM