IISER Mohali, Knowledge city, Sector 81, SAS Nagar, Manauli PO 140306

Infinitesimal deformations of some Quot Schemes

Chandranandan Gangopadhyay (IIT Mumbai)

Location : LH6
Abstract:
Let E be a vector bundle on a smooth complex projective curve C of genus at least two. Fix an integer d>1. Let Q be the Quot scheme that parametrizes the torsion quotients of E of degree d. In this talk we will compute the sheaf cohomology of the tangent bundle of Q. In particular, we will study the space of first order infinitesimal deformations of Q. This is a joint work with Indranil Biswas and Ronnie Sebastian.

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