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On the Cohomology of Quot Schemes Parametrizing Torsion Quotients on a Smooth Curve

ICTP Mathematics via YouTube

Overview

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Explore an advanced algebraic geometry seminar presented by Alina Marian from Northeastern University, USA, focusing on the cohomology of Quot schemes parametrizing torsion quotients on a smooth curve. Delve into complex mathematical concepts including additive basis, natural maps, universal sequences, and collection of operators. Examine the cycle of a dimension, correspondence, and geometrical explanations related to the topic. This in-depth lecture, part of the ICTP/IGAP Algebraic Geometry Seminar series, offers a comprehensive exploration of cutting-edge research in the field, suitable for graduate students and researchers in mathematics.

Syllabus

Intro
Recap
Motivation
Additive Basis
Natural Maps
Universal Sequence
Collection of Operators
Cycle of a Dimension
Correspondence
Comparing
Geometrical explanation
Conclusion

Taught by

ICTP Mathematics

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