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Graduate Algebraic Geometry and Commutative Algebra Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
AH345
Date
Feb 21, 2024   3:00 pm  
Speaker
Zijing Ye
Contact
Zijing Ye
E-Mail
zijingy2@illinois.edu
Views
9
Originating Calendar
Graduate Student Seminars in Mathematics

Title: Introduction to noncommutative algebraic geometry

Speaker: Zijing Ye

Abstract: I will introduce some of Michel Van den Bergh's work on noncommutative resolutions. In short, the theory is to show that the derived category of a resolution of a singular variety is isomorphic to a derived category of a noncommutative algebra, known as the noncommutative resolution. I will explain how to construct the tilting bundle that provides this noncommutative resolution. To illustrate, I will explicitly calculate the Atiyah flop example.

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