BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Syracuse University Events - ECPv6.5.1.4//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-ORIGINAL-URL: X-WR-CALDESC:Events calendar for the Syracuse University community REFRESH-INTERVAL;VALUE=DURATION:PT1H X-Robots-Tag:noindex X-PUBLISHED-TTL:PT1H BEGIN:VTIMEZONE TZID:America/New_York BEGIN:DAYLIGHT TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:EDT DTSTART:20210314T070000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:EST DTSTART:20211107T060000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=America/New_York:20210311T153000 DTEND;TZID=America/New_York:20210311T164500 DTSTAMP:20240713T062220 CREATED:20210309T203929Z LAST-MODIFIED:20210309T203929Z SUMMARY:Geometric Flows on Complex Manifolds and Generalized Kahler-Ricci Solitons DESCRIPTION:The Department of Mathematics in the College of Arts and Sciences is honored to welcome Dr. Yury Ustinovskiy to deliver the weekly colloquium. Dr. Ustinovskiy is a Courant Instructor at the Courant Institute\, where he works in the field of complex and differential geometry\, particularly non-Kähler manifolds\, canonical metrics and topological properties of such manifolds\, complex manifolds admitting large group of symmetries\, and generalized Kähler structures. \n\nAbstract: In the last decades geometric flows have been proved to be a powerful tool in the classification and uniformization problems in geometry and topology. Despite the wide range of applicability of the existing analytical methods\, we are still lacking efficient tools adapted to the study of general (non-Kahler) complex manifolds. In my talk I will discuss the pluriclosed flow – a modification of the Ricci flow – which was introduced by Streets and Tian\, and shares many nice features of the Ricci flow. The important open questions driving the ongoing research in complex geometry are the classification of compact non-Kahler surfaces\, and the Global Spherical Shell conjecture. Our hope is that understanding the long-time behaviour and singularities of the pluriclosed flow well enough\, we can use it to approach these open questions.\n\nTo apply an analytic flow to any geometric problem\, we need to make the first necessary step – classify the stationary points of the flow\, and\, more generally\, its solitons (stationary points modulo diffeomorphisms). For the pluriclosed flow\, this question reduces to a non-linear elliptic PDE for an Hermitian metric on a given complex manifold. We will discuss this problem on compact/complete complex surfaces\, and provide exhaustive classification under natural extra geometric assumptions. In the course of our classification we will discover a natural extension of the famous Gibbons-Hawking ansatz for hyperKahler manifolds. \n*For Zoom info\, please email URL: LOCATION:Virtual (see event details) 150 Crouse Dr.\, Syracuse\, NY\, 13244\, United States CATEGORIES:Science and Mathematics ATTACH;FMTTYPE=image/jpeg: ORGANIZER;CN="CAS-Department of Mathematics" GEO:43.0379544;-76.1375236 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Virtual (see event details) 150 Crouse Dr. Syracuse NY 13244 United States;X-APPLE-RADIUS=500;X-TITLE=150 Crouse Dr.:geo:43.0379544,-76.1375236 END:VEVENT END:VCALENDAR