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Graduate Commutative Algebra & Algebraic Geometry Seminar: Introduction to Geometric Invariant Theory

Event Type
Seminar/Symposium
Sponsor
n/a
Location
241 Altgeld Hall
Date
Apr 19, 2022   4:00 pm  
Speaker
Zijing Ye
Contact
Nachiketa Adhikari, Likun Xie
E-Mail
na17@illinois.edu, likunx2@illinois.edu
Views
23

One of the classical ways to construct moduli space in algebraic geometry is to use group action. This theory was developed by Mumford. This talk is the first of a series of talks on this topic. These talks will basically follow Mumford’s book Geometric Invariant Theory, but more examples and details of construction will be provided. In the first talk, I will introduce group action on schemes, quotients, linearization of a group action, stability, and 1-parameter subgroups. Anyone who has taken Math512 should be comfortable understanding the contents. Cookies will be provided as usual.

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