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

Offered By: ICTP Mathematics via YouTube

Tags

Algebraic Geometry Courses Cohomology Courses

Course Description

Overview

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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