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SUMMARY:Donaldson-Thomas invariants for the Bridgeland-Smith correspondenc
 e - Nicholas Williams\, University of Cambridge
DTSTART:20241016T131500Z
DTEND:20241016T141500Z
UID:TALK222241@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Celebrated work of Bridgeland and Smith shows a correspondence
  between quadratic differentials with prescribed singularities on Riemann 
 surfaces and stability conditions on particular 3-Calabi-Yau triangulated 
 categories. In joint work with Omar Kidwai\, we compute the Donaldson-Thom
 as (DT) invariants appearing for generic stability conditions in these cat
 egories. These are enumerative geometric invariants counting the semistabl
 e objects. In particular\, we show that the value of the DT invariant depe
 nds upon the type of finite-length trajectory of the quadratic differentia
 l corresponding to the semistable object in the Bridgeland-Smith picture. 
 This verifies predictions for the values of the DT invariants due to Iwaki
  and Kidwai using the topological recursion of Eynard and Orantin.
LOCATION:CMS MR13
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