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FIELD
Math: HCMC
DATE
Mar 20 (Thu), 2025
TIME
14:00 ~ 15:00
PLACE
수림(204)
SPEAKER
임우남
HOST
Kim, In-Kyun
INSTITUTE
연세대학교
TITLE
[HG_AG]Nekrasov’s gauge origami via DT4 theory
ABSTRACT
The study of the classical instantons on the spacetime has led to many interesting mathematics. In a series of papers, Nekrasov introduced and studied the generalised ADHM equations, whose solutions are instantons on the “origami spacetime”. In this talk, I will explain how to interpret Nekrasov’s gauge origami via DT4 theory. Our main result computes the orientation in the Oh-Thomas localisation formula and matches it with the definition from physics. If time permits, I will discuss some applications and a conjectural sheaf-theoretic description of the gauge origami theory. This is joint work in progress with N. Arbesfeld and M. Kool.
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