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SUMMARY:About the categorical strong rationality conjecture for flopping c
 urves - Francesca Carocci\, University of Edinburgh
DTSTART:20191030T141500Z
DTEND:20191030T151500Z
UID:TALK128134@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:The strong rationality conjecture of Pandharipande--Thomas is 
 the PT version of the Gopakumar--Vafa formula for Gromov--Witten invariant
 s. This has been reformulated by Toda as the independence of the count of 
 one dimensional sheaves from their Euler characteristic. I will try to mot
 ivate why\, in order to prove this independence\, it might be convenient t
 o work with cohomological Donaldson--Thomas invariants. In the last part o
 f the talk I will concentrate on the case of flopping curves\, state the c
 ohomological version of the conjecture\, and give an outline of the (almos
 t completed) proof we give. This is based on a joint work in progress with
  S. Beentjes and B. Davison.
LOCATION:CMS MR13
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