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Speaker:
Szabo Szilard
Zugehörigkeit:
Budapest University of Technology and Economics/MPIM
Datum:
Don, 23/02/2023 - 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
MPI-Oberseminar Hybrid. Contact: Christian Kaiser (kaiser @ mpim-bonn.mpg.de)
We discuss the P=W (perversity equals weight) conjecture in non-abelian Hodge theory (recently proven by Maulik--Shen and Hausel--Mellit--Minets--Schiffmann), and our Geometric approach to attacking it that could be turned to an actual proof in several particular cases. The idea is to use recent advances on the large-scale asymptotic behaviour of solutions to Hitchin's equations due to T.Mochizuki and R.Mazzeo et al. Time permitting, relationship to the Gaiotto--Moore--Neitzke conjecture and the Hitchin WKB-problem will also be mentioned.
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