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Algebraic Geometry On Fridays - Lee, Hwayoung(KIAS)

posted Jun 4, 2013, 6:59 PM by Jihye Jung   [ updated Aug 14, 2013, 12:55 AM ]
- Title : ADE (twisted) quiver bundles on a curve.

- Speaker : Lee, Hwayoung (KIAS)

 - Date & Time : 7 June , 2013 (Fri) 14:00~15:00

 - Place : Math Science Building room 404

 - Abstract

This is a work in progress with B. Kim and T. Logvinenko.

In the talk, I will introduce the curve counting theory via ideal sheaves/stable pairs on 'Calabi-Yau' threefold. According to Diaconescu’s work, the moduli of stable ADHM quiver bundles on a smooth projec- tive curve X is naturally isomorphic to the moduli of stable pairs on C2 × X. We extend this with Γ-action on C2, where Γ is a finite subgroup of SL2(C). Using McKay correspondence, certain stable pairs on Γ- Hilb(C2)×X relate to stable ADE quiver bundles which correspond to stable quasimaps.


Jihye Jung,
Jun 4, 2013, 6:59 PM