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Noncommutative Geometry and Topology in Prague
Hochschild and twisted Hochschild homology of quantum homogeneous spaces
Speaker’s name:
Fredy Díaz García
Speaker’s affiliation:
TU Dresden
Place:
This talk will take place in the blue seminar room, back building, Žitná 25.
It will also be broadcast on Zoom:
https://cesnet.zoom.us/j/91975183920?pwd=SGdlRUhLS21HUnVFTXBKcE1vYXlrQT09
Meeting ID: 919 7518 3920
Passcode: 102707
It will also be broadcast on Zoom:
https://cesnet.zoom.us/j/91975183920?pwd=SGdlRUhLS21HUnVFTXBKcE1vYXlrQT09
Meeting ID: 919 7518 3920
Passcode: 102707
Date:
Tuesday, 31. January 2023 - 16:00 to 17:00
Abstract:
In this talk, we give a brief introduction to the theory of Hochschild and the twisted Hochschild (co)homology of quantum spaces. Some examples of calculations will be given for the quantum SL_q(2) and the Podles quantum spheres showing how to avoid the “dimension drop” phenomenon in Hochschild homology. If time permits I will give some ideas on how to calculate Hochschild homology for quantum projective spaces CP^n_q by using Koszul resolutions.