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UID:2029@qft.physik.hu-berlin.de
DTSTART;TZID=Europe/Berlin:20240531T133000
DTEND;TZID=Europe/Berlin:20240531T143000
DTSTAMP:20240528T103231Z
URL:https://qft.physik.hu-berlin.de/next-seminars/thomas-walpuski/
SUMMARY:Thomas Walpuski (HU Berlin) - 
DESCRIPTION:Speaker: Thomas Walpuski (HU Berlin)\n\nTitle: Gauge theory and
  exceptional holonomy: progress and open problems\n\nAbstract:\nIn the lat
 e 1990s\, mathematicians started to (somewhat) seriously investigate gauge
  theory in higher dimensions\, in particular on Riemannian manifolds with 
 exceptional holonomy: G2 and Spin(7). The initial hope was that this might
  lead to higher-dimensional analogues of the Casson invariant\, instanton 
 Floer homology\, etc.—which have turned out to be essential tools in the
  study of low-dimensional topology. Naive versions of this hope have been 
 shattered. Nevertheless\, in the quest to realise a more sophisticated ver
 sion of this hope\, mathematicians have discovered links between gauge the
 ory in higher dimensions\, calibrated submanifolds\, (new) gauge theories 
 in low dimensions\, etc. and stumbled upon numerous open problems (mostly 
 in geometric analysis). The purpose of this talk is to sketch some of thes
 e developments\, and to explain what is known and what is not.
CATEGORIES:Pizza Seminars
LOCATION:Room 1.221\, IRIS building\, Zum großen Windkanal 6\, Berlin\, 12
 489\, Germany
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