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Noncommutative Geometry and Topology in Prague

The Cubic Dirac Operator for U_q(sl_2)

Speaker’s name: 
Andrey Krutov
Speaker’s affiliation: 
Institute of Mathematics of the Czech Academy of Sciences


This talk will take place in the blue seminar room, back building, Žitna 25 and on Zoom:
Meeting ID: 919 7518 3920
Passcode: 102707
Tuesday, 25. January 2022 - 16:00 to 17:00

The cubic Dirac operator for a complex semisimple Lie algebra \mathfrak{g} was introduced (in the algebraic setting) by Kostant in 1999. It has numerous applications in representation theory.  In 2000, Alekseev and Meinrenken used it to study equivariant cohomology of G-manifolds.  In this talk we will present a q-deformation of the cubic Dirac operator for \mathfrak{sl}_2.  In particular, we will discuss a possible q-deformation of the noncommutative Weil algebra of \mathfrak{g}.