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:20201109T093000 RDATE:20210314T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20211107T010000 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:20210314T030000 RDATE:20211107T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT 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:793cab66c0420ef841826faacfe3e34e CATEGORIES:Nonlinear Analysis CREATED:20211110T113720 SUMMARY:Some New Sharp Inequalities in Analysis and Geometry LOCATION:Zoom DESCRIPTION:Abstract: The classical Moser-Trudinger inequality is a borderline case of Sobolev inequalities and plays an important role in geometric analysis and PDEs in general. Aubin in 1979 showed that the best constant in the Moser-T rudinger inequality can be improved by reducing to one half if the function s are restricted to the complement of a three dimensional subspace of the S obolev space $H^1$, while Onofri in 1982 discovered an elegant optimal form of Moser-Trudinger inequality on sphere. In this talk, I will present new sharp inequalities which are variants of Aubin and Onofri inequalities on t he sphere with or without mass center constraints. One such inequality, for example, incorporates the mass center deviation (from the origin) into the optimal inequality of Aubin on the sphere, which is for functions with mas s centered at the origin. Efforts have also been made to show similar inequ alities in higher dimensions. Among the preliminary results, we have improv ed Beckner's inequality for axially symmetric functions when the dimension $n=4, 6, 8$. Many questions remain open. The talk is based on several joint papers with Amir Moradifam, Sun-Yung Alice Chang, Yeyao Hu and Weihong Xie . \n X-ALT-DESC;FMTTYPE=text/html:

Abstract: The classical Moser-Trudinger inequality is a borderline case of Sobolev inequalities and plays an important role i n geometric analysis and PDEs in general. Aubin in 1979 showed that the bes t constant in the Moser-Trudinger inequality can be improved by reducing to one half if the functions are restricted to the complement of a three dime nsional subspace of the Sobolev space $H^1$, while Onofri in 1982 discovere d an elegant optimal form of Moser-Trudinger inequality on sphere. In this talk, I will present new sharp inequalities which are variants of Aubin and Onofri inequalities on the sphere with or without mass center constraints. One such inequality, for example, incorporates the mass center deviation ( from the origin) into the optimal inequality of Aubin on the sphere, which is for functions with mass centered at the origin. Efforts have also been m ade to show similar inequalities in higher dimensions. Among the preliminar y results, we have improved Beckner's inequality for axially symmetric func tions when the dimension $n=4, 6, 8$. Many questions remain open. The talk is based on several joint papers with Amir Moradifam, Sun-Yung Alice Chang, Yeyao Hu and Weihong Xie. 

CONTACT:Changfeng Gui, The University of Texas at San Antonio X-EXTRAINFO:https://rutgers.zoom.us/j/96430905091?pwd=Tkp4N0FlRnk3ZXZLWTl6LzRHdkNZdz09\ nMeeting ID: 964 3090 5091 Passcode: 491508\n DTSTAMP:20260827T204539 DTSTART;TZID=America/New_York:20211110T093000 DTEND;TZID=America/New_York:20211110T103000 SEQUENCE:0 TRANSP:OPAQUE END:VEVENT END:VCALENDAR