Speaker: Mainak Poddar, IISER Pune
Time: Monday 5th October 4 to 5pm (joining time 3.50pm IST)
Google Meet Link:
https://meet.google.com/qvo-kduy-yco
Title: Equivariant splitting of toric principal bundles over projective
spaces.
Abstract: I will describe a classification of torus equivariant principal
G-bundles over a complex nonsingular toric variety where G is a complex
linear algebraic group. I will discuss a connection between their
equivariant automorphisms and equivariant reduction of structure group.
Using this we will show the existence of a torus equivariant splitting of
such a bundle over the projective space of dimension n when G is a
reductive subgroup of GL(r) for r < n. This generalizes a theorem of
Kaneyama on the existence of equivariant splitting of any torus
equivariant vector bundle of rank r < n over a projective space of
dimension n. The talk is based on joint works with Indranil Biswas, Jyoti
Dasgupta, Arijit Dey and Bivas Khan.