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Graduate Algebraic Geometry and Commutative Algebra Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
AH341
Date
Feb 1, 2023   3:00 pm  
Speaker
Zijing Ye
Contact
Zijing Ye
E-Mail
zijingy2@illinois.edu
Views
12

Towards Curve Counting Invariants II: Donaldson–Thomas invariant and moduli of (semi-)stable sheaves (Part 2)

Abstract: Continuing from last week's talk, I will construct the moduli space of (semi-)stable sheaves as a GIT quotient. And then show the existence of the moduli space of ideal sheaves with fixed Euler characteristics and Chern classes. If time permits, I will briefly introduce deformation theory in moduli problems and specifically the deformation of sheaves.

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