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: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:20220925T134000
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:59ac7c0597782dbb407301038630c355
CATEGORIES:Nonlinear Analysis
CREATED:20230923T123738
SUMMARY:A doubling approach for sigma-k PDEs
LOCATION:Hill 705
DESCRIPTION:Abstract: The interior regularity for viscosity solutions of the sigma-2 eq
 uation is the remaining case of the Monge-Ampere sigma-k family to be under
 stood. The dimension two case was done in the 1950’s by Heinz, and the dime
 nsion three case was done in 2008 by Warren and Yuan. In joint works with Y
 u Yuan, we show regularity in dimension four for sigma-2. Our argument uses
  a doubling inequality for the Hessian. A similar argument gives a proof of
  interior regularity for strictly convex solutions of the Monge-Ampere (sig
 ma-n) equation in all dimensions, using a geometric approach distinct from 
 Pogorelov’s maximum principle of the 70’s.\n
X-ALT-DESC;FMTTYPE=text/html:<p style="font-weight: 400; letter-spacing: normal; text-indent: 0px; text-
 transform: none; white-space: normal; word-spacing: 0px; text-decoration: n
 one; color: #000000; text-align: left;"><strong>Abstract:&nbsp;</strong>The
  interior regularity for viscosity solutions of the sigma-2 equation is the
  remaining case of the Monge-Ampere sigma-k family to be understood. The di
 mension two case was done in the 1950’s by Heinz, and the dimension three c
 ase was done in 2008 by Warren and Yuan. In joint works with Yu Yuan, we sh
 ow regularity in dimension four for sigma-2. Our argument uses a doubling i
 nequality for the Hessian. A similar argument gives a proof of interior reg
 ularity for strictly convex solutions of the Monge-Ampere (sigma-n) equatio
 n in all dimensions, using a geometric approach distinct from Pogorelov’s m
 aximum principle of the 70’s.</p>
CONTACT:Ravi Shankar, Princeton University
DTSTAMP:20260908T104545
DTSTART;TZID=America/New_York:20230926T134000
DTEND;TZID=America/New_York:20230926T144000
SEQUENCE:0
TRANSP:OPAQUE
END:VEVENT
END:VCALENDAR