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UID:e82aa796a6a404f1bad1c637c8131b67
DTSTAMP:20260715T203607Z
SUMMARY:Damian Gvirtz (Imperial and LSGNT) – Betti\, de Rham and Dolbeaul
 t cohomologies
DESCRIPTION:This is an introductory talk to three different types of cohomo
 logies that play an important role in the theory of complex Kähler manif
 olds: singular\, de Rham and Dolbeault. I will explain how they relate to
  each other through the framework of sheaf cohomology building a bridge f
 rom singular over de Rham to Dolbeault. Then I will talk about the beauti
 ful intricate interplay that arises from combining the integral lattice a
 spect from singular cohomology with the complex filtration aspect from Do
 lbeault cohomology under the theme of linearisation. In several examples\
 , I will show how much information can be recovered from this piece of li
 near algebra (sometimes only conjecturally). Time allowing\, I will say s
 omething about the algebraic substitutes and analogues of the theory over
  general characteristics.
URL:https://www.imperial.ac.uk/events/99746/damian-gvirtz-imperial-and-lsgn
 t-betti-de-rham-and-dolbeault-cohomologies/
DTSTART;TZID=Europe/London:20171020T173000
DTEND;TZID=Europe/London:20171020T183000
LOCATION:United Kingdom
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DTSTART:20171020T173000
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