Mon, October 5, 2020
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4:00pm [4:00pm] Mainak Poddar, IISER Pune
Description:
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.
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6:00pm