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

Place:

ZOOM meeting

Date:

Wednesday, 4. November 2020 - 11:30 to 12:30

Abstract:

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.

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ZOOM meeting shall be opened at 11.15 at

https://cesnet.zoom.us/j/99598413922?pwd=c2Y0TENuZHdDQ3hDWEkySFI3YWo3QT09

Meeting ID: 995 9841 3922

Passcode: cartan

and closed at 13.00

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

https://cesnet.zoom.us/j/99598413922?pwd=c2Y0TENuZHdDQ3hDWEkySFI3YWo3QT09

Meeting ID: 995 9841 3922

Passcode: cartan

and closed at 13.00