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SUMMARY:Conformal removability of Schramm-Loewner evolutions
DTSTART;VALUE=DATE-TIME:20231122T160000
DTEND;VALUE=DATE-TIME:20231122T173000
DTSTAMP;VALUE=DATE-TIME:20240422T022730Z
UID:1bfaafbfa0027a33bc26c38d077a80c216f00e8bf6adff84a1ba0793
CATEGORIES:Conferences - Seminars
DESCRIPTION:Lukas SchougĀ (Helsinki)\nAbstract:\n\nĀ \n\nA subset K of the
complex plane is said to be conformally removable if each homeomorphism o
f the complex plane which is conformal on the complement of K is also conf
ormal on K. The question of conformal removability of Schramm-Loewner evol
utions (SLE) has been of considerable interest as it concerns uniqueness o
f weldings quantum surfaces. The conformal removability of SLE(kappa) for
kappa < 4 was proved over 20 years ago\, but the case of kappa in [4\,8) h
as proved to be very elusive. In this talk\, we will review the topic of c
onformal removability\, its connections to SLE and present new results: th
at SLE(kappa) is indeed conformally removable for kappa = 4 and whenever i
ts adjacency graph of complementary connected components is connected.
LOCATION:Bernoulli Center https://maps.app.goo.gl/LGa7ei1hQkCkkHN1A
STATUS:CONFIRMED
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