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You cannot but know the Intersection Theory, a branch of algebraic geometry where Sub-varieties are intersected on an algebraic variety and they are computed within cohomology ring there.

You will be acquainted with the working by this [course_title] about moving cycles, intersection multiplicities, the Chow ring, Self-intersection on a Moduli Space which is a geometric space representing isomorphism classes with effective description and examples to relate with practical applications.

Assessment

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

Certification

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Course Credit: MIT

Course Curriculum

GRASSMANNIANS THE FIRST EXAMPLE OF A MODULI 00:10:00
THE MODULI SPACE OF CURVES 00:20:00
THE COHOMOLOGY OF THE MODULI SPACE OF CURVES 00:20:00
DIVISOR CLASSES ON THE MODULI SPACE OF CURVES 00:15:00
THE KODAIRA DIMENSION OF THE MODULI SPACE OF 00:20:00
THE KONTSEVICH MODULI SPACES OF STABLE MAPS 00:25:00
Assessment
Submit Your Assignment 00:00:00
Certification 00:00:00

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