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SUMMARY:A motivic DT/PT correspondence
DTSTART:20220503T131500
DTEND:20220503T150000
DTSTAMP:20260510T230041Z
UID:b3bf6ea35c8b7667b7239c0599c4a4542eec677d196abb7daa14e638
CATEGORIES:Conferences - Seminars
DESCRIPTION:Andrea Ricolfi (Università di Bologna)\nDonaldson-Thomas inva
 riants of a Calabi-Yau 3-fold Y are related to Pandharipande-Thomas invari
 ants via a wall-crossing formula known as the DT/PT correspondence\, prove
 d by Bridgeland and Toda. The same relation holds for the “local invaria
 nts”\, those encoding the contribution of a fixed smooth curve in Y. We 
 show how to lift the local DT/PT correspondence to the motivic level\, pro
 ving an explicit formula for the local motivic DT invariants\; we do so by
  exploiting the critical structure on certain Quot schemes acting as our l
 ocal models. Joint work with Ben Davison. 
LOCATION:GC A1 416 https://plan.epfl.ch/?room==GC%20A1%20416
STATUS:CONFIRMED
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