Algebraic Geometry Seminar - Wednesday 25 January, at 19:00 (Shubham Sinha)/ PLEASE NOTE THE UNUSUAL TIME

[ICTP Math Section]

ALGEBRAIC GEOMETRY SEMINAR

Wednesday 25 January, at 19:00 (Rome Time) - _PLEASE NOTE THE UNUSUAL TIME_

_VENUE: ONLINE_

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Speaker: Shubham Sinha, UC San-Diego

Title: Tautological bundles over Quot schemes on curves

Abstract: I will present formulas for the Euler characteristics of 
tautological bundles over punctual Quot schemes that parameterize 
zero-dimensional quotients of a vector bundle E over C (based on joint 
work with Prof. Dragos Oprea). The formulas suggest analogies between 
the Quot schemes of curves and the Hilbert scheme of points of surfaces. 
Our proofs rely on Atiyah-Bott localization, universality results (of 
Ellingsrud, Göttsche, and Lehn), and the combinatorics of Schur 
functions. For higher rank quotients, I will report a few formulas and 
vanishing results when the genus is zero.

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