slideshow 3

Cohomology in algebra, geometry, physicsand statistics

Gluing bundles over noncommutative flag varieties

Speaker’s name: 
Zoran Skoda
Speaker’s affiliation: 
University of Zadar and University of Hradec Kralove


ZOOM meeting
Wednesday, 4. November 2020 - 11:30 to 12:30
Localization functors may be used to define local covers in some
examples from noncommutative geometry. In an earlier work, I have used
this technique to treat
gluing of bundles over quantum flag varieties with applications to quantum group
coherent states and representation theory. A non-flat version of this technique
is under development. A basic series of examples is what I call
universal noncommutative flag varieties (including Grassmannians),
where no "quantum" relations are imposed.
Various classical and quantum flag varieties appear as subvarieties. I will
present these the rationale behind these examples and of gluing technique
for certain special covers. Main aim is to derive explicit cocycle describing
certain tautological bundle over a universal noncommutative Grassmannian
leading to noncommutative double ratios studied recently
by Retakh, Rubtsov and Sharygin.


ZOOM meeting shall be opened at 11.15 at

Meeting ID: 995 9841 3922
Passcode: cartan
and closed at 13.00