BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Professor Gang Tian (Peking University\, China) DTSTART:20221001T070000Z DTEND:20221001T083000Z DTSTAMP:20260423T005831Z UID:ITB-MDLS/9 DESCRIPTION:Title: Ricci Flow and Geometrization\nby Professor Gang Tian (Peking Univers ity\, China) as part of ITB Mathematics Distinguished Lecture Series\n\n\n Abstract\nIn this general talk\, I will give a brief and non-technical tou r on role of analysis in studying problems in geometry as well as some oth er mathematical branches. This can be done through Ricci flow and geometri zation. Geometrization is to equip manifolds under consideration a useful metric structure\, such a metric structure is often given by the Einstein equation.\n\nAn effective method of achieving geometrization is to use Ric ci flow introduced in early 80s. Since then\, it has had many applications . The most famous one is Perelman’s solution of the Poincare conjecture. In this talk\, I will first start with some basics on metrics and explain how geometrization determines topology of surfaces. Then I will introduce Ricci flow and show some of their properties.\n\nI will discuss how Ricci flow is applied to geometrization of surfaces and its generalization to h igher dimensions. One deep application in higher dimensions is to solve Th urston’s geometrization conjecture for 3-manifolds\, particularly\, the Poincare conjecture. The other is the Analytic Minimum Model Program which aims at classifying Kahler manifolds birationally. Some open questions ma y be presented in the end.\n LOCATION:https://researchseminars.org/talk/ITB-MDLS/9/ END:VEVENT END:VCALENDAR