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Seminar

NFC Seminar: Expanding Ricci solitons asymptotic to cones with nonnegative scalar curvature October 28, 2024 (11:00 AM PDT - 12:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Eric Chen (University of California, Berkeley)
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Keywords and Mathematics Subject Classification (MSC)
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Secondary Mathematics Subject Classification No Secondary AMS MSC
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Expanding Ricci solitons asymptotic to cones with nonnegative scalar curvature

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In dimensions four and higher, the Ricci flow may encounter singularities modelled on cones with nonnegative scalar curvature. It may be possible to resolve such singularities and continue the flow using expanding Ricci solitons asymptotic to these cones, if they exist. I will discuss joint work with Richard Bamler in which we develop a degree theory for four-dimensional asymptotically conical expanding Ricci solitons, which in particular implies the existence of expanders asymptotic to a large class of cones

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Expanding Ricci solitons asymptotic to cones with nonnegative scalar curvature