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NCTS Seminar in Algebraic Geometry
 
14:00 - 15:30, May 22, 2020 (Friday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Donaldson-Thomas Theory of Quantum Fermat Quintic Threefolds
Yu-Hsiang Liu (University of British Columbia)

Abstract:
In this talk, I will define Donaldson-Thomas type invariants on non-commutative projective CY3 schemes whose associated graded algebras are finite over their centre. I will discuss the simplest example, the Fermat quintic in quantum projective 4-space. I will give explicit local models for its Hilbert schemes of points in terms of quivers with potential, which leads to a full computation degree zero Donaldson-Thomas invariants.
 
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