MATH 732 - Topics in Algebraic Geometry II
Section: 001 Rationality of Algebraic Varieties
Term: WN 2018
Subject: Mathematics (MATH)
Department: LSA Mathematics
Requirements & Distribution:
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Advisory Prerequisites:
MATH 631 or 731.
This course counts toward the 60 credits of math/science required for a Bachelor of Science degree.
May not be repeated for credit.
Primary Instructor:

Varieties with group actions have an enriched cohomology that takes the group action into account. In the best situations, one can hope to calculate cohomology and other topological invariants by analyzing the geometry around the fixed points. This course will concentrate on varieties like Grassmannians, flag varieties, and other homogeneous varieties, as well as toric varieties, for which this approach has been particularly successful. There is a rich interplay among algebraic geometry, topology, representation theory, and combinatorics, making the course of interest to students in any of these fields.

Course Requirements:

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Class Format:

The prerequisites are the alpha courses in topology and algebra, and a first course in algebraic geometry (MATH 631). Some basic material about the topology of algebraic varieties, and basic facts from representation theory and symmetric functions, will be reviewed in lectures or presented by interested students.

MATH 732 - Topics in Algebraic Geometry II
Schedule Listing
001 (LEC)
MWF 2:00PM - 3:00PM
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