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FIELD Math:Geometry
DATE January 19 (Wed), 2022
TIME 16:00-18:00
PLACE 1423
SPEAKER Lim, Woonam
HOST Lee, Sanghyeon
INSTITUTE ETH Zurich
TITLE Virasoro constraints for stable pairs on Calabi-Yau 4-folds
ABSTRACT

We conjecture Virasoro constraints for stable pair theories on Calabi-Yau 4-folds. This provides one more example of ubiquitous Virasoro constraints on sheaf-theoretic moduli spaces in various dimensions. As supporting evidence for the conjecture, we prove that Virasoro constraints for a Fano 3-fold are compatible with Virasoro constraints for a corresponding elliptic CY 4-fold. We also conjecture Virasoro constraints for moduli of torsion sheaves and study their relationship to stable pair Virasoro constraints. This is a joint work in progress with Younghan Bae and Miguel Moreira.

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