BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//jEvents 2.0 for Joomla//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:STANDARD
DTSTART:20220220T134000
RDATE:20220313T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20221106T010000
RDATE:20230312T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20231105T010000
RDATE:20240310T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20241103T010000
RDATE:20250309T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20251102T010000
RDATE:20260308T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20261101T010000
RDATE:20270314T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20271107T010000
RDATE:20280312T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20281105T010000
RDATE:20290311T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:DAYLIGHT
DTSTART:20220313T030000
RDATE:20221106T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20230312T030000
RDATE:20231105T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20240310T030000
RDATE:20241103T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20250309T030000
RDATE:20251102T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20260308T030000
RDATE:20261101T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20270314T030000
RDATE:20271107T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20280312T030000
RDATE:20281105T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
UID:cc65f0ed254de30be7a79eafd3c1cebc
CATEGORIES:Nonlinear Analysis
CREATED:20230216T095106
SUMMARY:Rectifiability of interfaces with positive Alt-Caffarelli-Friedman limit via quantitative stability
LOCATION:Hill Center Room 705
DESCRIPTION:<p><strong>Abstract:&nbsp;</strong>The Alt-Caffarelli-Friedman (ACF) monoto
 nicity formula captures fine behavior of pairs of nonnegative harmonic func
 tions which vanish on the mutual boundary of complementary domains. I will 
 describe the following theorem: the set of points with positive limit for t
 he ACF formula, corresponding roughly to where both functions have linear g
 rowth away from the interface, is countably n?1 rectifiable. The proof leve
 rages a new quantitative stability property for the ACF formula, which in t
 urn is based on a new quantitative stability result for the Faber-Krahn ine
 quality. Indeed, we show that if ?(?) is the first Dirichlet eigenvalue of 
 a domain ? of volume one and u? is the first eigenfunction, then |u_? ? u_B
 | 2 ? C[?(?) ? ?(B)] for some ball B with |B| = |?| = 1. Our proof of this 
 relies on regularity theory for some "critical" modifications of Bernoulli-
 type free boundary problems. This is based on joint work with Mark Allen an
 d Robin Neumayer.</p><p>Seminar website: &nbsp;Nonlinear Analysis Seminar (
 <a href="https://sites.math.rutgers.edu/~yyli/NonlinearAnalysisSeminar.html
 "></a><strong><a href="https://sites.math.rutgers.edu/~yyli/NonlinearAnalys
 isSeminar.html">https://sites.math.rutgers.edu/~yyli/NonlinearAnalysisSemin
 ar.html</a></strong>)&nbsp;</p>
CONTACT:Dennis Kriventsov, Rutgers University
DTSTAMP:20260924T164722
DTSTART;TZID=America/New_York:20230221T134000
DTEND;TZID=America/New_York:20230221T144000
SEQUENCE:0
TRANSP:OPAQUE
END:VEVENT
END:VCALENDAR