ALGEBRAIC GEOMETRY SEMINAR - Tuesday 26 March, at 14:30 - VENUE: ICTP Luigi Stasi seminar room - Sergej Monavari (EPFL)

[ICTP Math Section]

_ALGEBRAIC GEOMETRY SEMINAR_


Tuesday 26 Mar 2024, at 14:30 - VENUE: ICTP Leonardo Building - Luigi 
Stasi Seminar Room


Title: Tetrahedron instantons in Donaldson-Thomas theory


Speaker: Sergej Monavari (EPFL)


Abstract: Tetrahedron instantons were recently introduced by 
Pomoni-Yan-Zhang in string theory, as a way to describe systems of D0-D6 
branes with defects. We propose a rigorous geometric interpretation of 
their work by the point of view of Donaldson-Thomas theory. We will 
explain how to naturally construct the moduli space of tetrahedron 
instantons as a Quot scheme, parametrizing quotients of a torsion sheaf 
over a certain singular threefold, and how to construct a virtual 
fundamental class in this setting using quiver representations and the 
recent machinery of Oh-Thomas (which is in principle designed for moduli 
spaces of sheaves on Calabi-Yau 4-folds). Furthermore, we will show how 
to formalize mathematically the invariants considered by 
Pomoni-Yan-Zhang (initially defined via supersymmetric localization in 
Physics) and how to rigorously compute them, solving some open 
conjectures. Joint work with Nadir Fasola.

/https://indico.ictp.it/event/10675
/

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