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:20210221T145000 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:8bc3b083e071a542a2f0bc3ecdcbbf49 CATEGORIES:Geometric Analysis Seminar CREATED:20220221T102356 SUMMARY:Geometry at Infinity of ancient Ricci Flows LOCATION:Zoom DESCRIPTION:Abstract: Based on Hamilton's program, Perelman solved the Poincar'{e} conj ecture and Thurston's geometrization conjecture using Ricci flow with surge ries. It is crucial to understand the singularity formation in order to per form surgeries. To capture the geometry in the large of the singularity mod els, Perelman developed a space-time comparison geometry, the L-geometry, t o prove the existence of the asymptotic shrinkers, which are smooth blow-do wn limits as time goes $-infty$. Despite the miraculous success in dimensio n 3, Perelman's machinery is not suitable for higher dimensions partly due to the complexity of curvatures. Recently, Richard Bamler developed a compa ctness and partial regularity regularity theory for noncollapsed Ricci flow s, which greatly advanced the study of Ricci flows in dimension greater or equal to 4. Among other important results, Bamler introduced a notion of ta ngent flow at infinity, which is a blow-down limit with respect to Bamler's new $mathbb{F}$-distance, and its existence is canonical thanks to Bamler' s compactness theory. In a recent work with Chan and Zhang, roughly speakin g, we proved that the two notions of blow-downs coincide. We also mention t he study of tangent flows at infinity of 4-dimensional steady Ricci soliton s and how the geometry at infinity determines the geometry in the large, wh ich is a recent work joint with Bamler, Chow, Deng and Zhang. Moreover, we will talk about the uniqueness of closed and smooth tangent flows at infini ty and the $mathbb{F}$-convergence rate, which are recent works joint with Chan and Zhang.\n X-ALT-DESC;FMTTYPE=text/html:

Abstract: Based on Hamilton's program, Perelman solved the Poincar' {e} conjecture and Thurston's geometrization conjecture using Ricci flow wi th surgeries. It is crucial to understand the singularity formation in orde r to perform surgeries. To capture the geometry in the large of the singula rity models, Perelman developed a space-time comparison geometry, the L-geo metry, to prove the existence of the asymptotic shrinkers, which are smooth blow-down limits as time goes $-infty$. Despite the miraculous success in dimension 3, Perelman's machinery is not suitable for higher dimensions par tly due to the complexity of curvatures. Recently, Richard Bamler developed a compactness and partial regularity regularity theory for noncollapsed Ri cci flows, which greatly advanced the study of Ricci flows in dimension gre ater or equal to 4. Among other important results, Bamler introduced a noti on of tangent flow at infinity, which is a blow-down limit with respect to Bamler's new $mathbb{F}$-distance, and its existence is canonical thanks to Bamler's compactness theory. In a recent work with Chan and Zhang, roughly speaking, we proved that the two notions of blow-downs coincide. We also m ention the study of tangent flows at infinity of 4-dimensional steady Ricci solitons and how the geometry at infinity determines the geometry in the l arge, which is a recent work joint with Bamler, Chow, Deng and Zhang. Moreo ver, we will talk about the uniqueness of closed and smooth tangent flows a t infinity and the $mathbb{F}$-convergence rate, which are recent works joi nt with Chan and Zhang.

CONTACT:Zilu Ma (UC San Diego) X-EXTRAINFO:Zoom link:\nhttps://rutgers.zoom.us/j/97953490430?pwd=RmxtS0pnVEFmaEc5U2tlY 3NDdW92Zz09\nMeeting ID: 979 5349 0430\nPassword: 515087 DTSTAMP:20260908T171908 DTSTART;TZID=America/New_York:20220222T145000 DTEND;TZID=America/New_York:20220222T155000 SEQUENCE:0 TRANSP:OPAQUE END:VEVENT END:VCALENDAR