Frank Taipe - Quantum groupoids from quantum group dynamics and Tannaka–Krein duality

BIMSA-Tsinghua Quantum Symmetry Seminar
2025-09-24
Speaker: Frank Taipe (Instituto de Matemática y Ciencias Afines, Peru)

Title
Quantum groupoids from quantum group dynamics and Tannaka–Krein duality

Abstract
This talk explores how certain quantum groupoids naturally emerge from the dynamics of quantum groups, particularly within the framework of operator algebras. We investigate how quantum symmetries give rise to groupoid-type structures, especially in noncommutative contexts where classical symmetry notions require substantial generalization. Special attention is given to the role of quantum group actions in revealing internal structures and dualities, offering insight into the deep interplay between symmetry and noncommutativity. If time permits, the talk concludes with a discussion of categorical reconstruction techniques that extend Tannaka–Krein duality to the setting of quantum groupoids, highlighting their significance in noncommutative geometry.

Reference: https://arxiv.org/abs/2306.17753

Slides and video
https://bimsa.net/doc/notes/56081.pdf
https://bimsa.net/bimsavideo.html?id=...

Speaker Introduction
Frank Taipe is a Peruvian mathematician specializing in quantum symmetries and operator algebraic quantum groupoids. He received his PhD in 2018 from Université de Caen Normandie (France) under the supervision of Leonid Vainerman and Pierre Fima. He then held a temporary teaching and research associate position at Université Paris-Saclay (France), working at Laboratoire de Mathématiques d’Orsay. Currently, he holds a research associate position at Instituto de Matemática y Ciencias Afines (Peru).

Speaker Homepage
https://franktaipe.phd

BIMSA page of the talk
https://www.bimsa.cn/research_detail/...

Webpage of the Quantum Symmetry Seminar
https://bimsa.net/activity/QuaSymSemi...