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DTSTART:20070311T020000
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DTSTAMP:20261002T100556
DTSTART;TZID=America/Detroit:20261009T160000
DTEND;TZID=America/Detroit:20261009T170000
SUMMARY:Workshop / Seminar:Topology seminar: End Floer homology and Exotic R^4's
DESCRIPTION:Abstract: One way to construct an exotic R^4 is to remove a slice disk from the 4-ball\, replace it with a Casson handle\, and then delete the boundary. In the 90's De Michelis and Freedman asked how the choices in this construction affect the smooth type. Since then\, this problem has seen some progress but is still not well understood. Our main result is that if two slice knots have sufficiently different knot Floer homology\, then the resulting exotic R^4's made with the simplest Casson handle are distinct. This allows us to distinguish an explicit infinite family of exotic R^4's. Our main tool is Gadgil's end Floer homology\, which we compute effectively by analyzing Heegaard Floer cobordism maps. We also discuss new phenomena related to these R^4's\, and relevance to the open problem of finding infinitely many smooth structures on all noncompact 4 manifolds. This is joint work with Jen Hom\, Tye Lidman\, and Shunyu Wan.
UID:150488-21909511@events.umich.edu
URL:https://events.umich.edu/event/150488
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3866
CONTACT:
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DTSTAMP:20260902T161740
DTSTART;TZID=America/Detroit:20261009T163000
DTEND;TZID=America/Detroit:20261009T180000
SUMMARY:Reception / Open House:2026 Faculty Mixer
DESCRIPTION:Socialize with your faculty colleagues and visit the University’s famous Kelsey Museum of Archaeology during our annual Faculty Mixer event. Snacks and drinks will be served\, and the museum will be open for perusing!
UID:151419-21911571@events.umich.edu
URL:https://events.umich.edu/event/151419
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Faculty,Kelsey
LOCATION:Kelsey Museum of Archaeology
CONTACT:
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