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SUMMARY:Jan Nienhaus (WWU Münster)
DTSTART:20230614T090000Z
DTEND:20230614T100000Z
DTSTAMP:20260423T021226Z
UID:VSGS/71
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/71/">Ei
 nstein metrics on spheres of even dimension</a>\nby Jan Nienhaus (WWU Mün
 ster) as part of Virtual seminar on geometry with symmetries\n\n\nAbstract
 \nThe first non-round Einstein metrics on spheres were described in 1973 b
 y Jensen in dimensions 4n+3 (n > 0). For the next 25 years it remained an 
 open problem whether the same could be done in even dimensions. This quest
 ion was settled in 1998 when C. Böhm constructed infinite families of Ein
 stein metrics on all Spheres of dimension between 5 and 9\, in particular 
 on $S^6$ and $S^8$. \n\nOver the last 25 years\, all spheres of odd dimens
 ion (at least 5) have been shown to admit non-round Einstein metrics\, but
  there have been no new developments in even dimensions above 8\, leaving 
 open to speculation the question of whether non-uniqueness of the round me
 tric is a low-dimensional phenomenon or to be expected in all dimensions.\
 n\nI will give an overview of the methods used to construct non-round Eins
 tein metrics\, which we recently used to construct three new Einstein metr
 ics on $S^{10}$.\n\n\n\nThis is joint work with Matthias Wink\n
LOCATION:https://researchseminars.org/talk/VSGS/71/
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