Gepner type stability conditions on graded matrix factorizations

Gepner type stability conditions on graded matrix factorizations

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Yukinobu Toda , Institute for the Physics and Mathematics of the Universe
Fine Hall 322

PLEASE NOTE SPECIAL DAY AND TIME: WEDNESDAY, MARCH 27 AT 3:30 PM.   I will introduce Gepner type Bridgeland stability conditions on graded matrix factorizations. In the case of a quintic 3-fold, such a stability condition may correspond to the Gepner point on the stringy Kahler moduli space via Orlov equivalence. Also such a stability condition is important in finding non-trivial relations among DT invariants. I will show the existence of Gepner type stability conditions on graded matrix factorizations in some low degree cases. I also show that a conjectural construction of a Gepner point for a quintic 3-fold leads to a conjectural stronger version of BG inequality for stable sheaves.