12 March 2024: Réamonn Ó Buachalla, Charles University.

Réamonn Ó Buachalla, Charles University. The noncommutative complex geometry of the full flag manifold of quantum .

This talk will take place in the blue seminar room, back building Žitná 25, and on Zoom.

We construct a -deformation of the Dolbeault double complex of the full quantum flag manifold of . This extends the Heckenberger–Kolb differential calculus of the quantum projective plane, and the recently constructed q-deformed anti-holomorphic complex of the full quantum flag manifold. We present a number of new phenomena which do not occur in the Heckenberger–Kolb setting, such as connections with torsion and non-integrable almost-complex structures.