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BEGIN:VEVENT
SUMMARY:Jorge Lauret (Universidad Nacional de Córdoba)
DTSTART:20220524T150000Z
DTEND:20220524T160000Z
DTSTAMP:20260418T133553Z
UID:GTACoS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTACoS/1/">H
 omogeneous complex geometric flows and their solitons</a>\nby Jorge Lauret
  (Universidad Nacional de Córdoba) as part of Geometry & TACoS - Session 
 VIII : Complex Geometric Flows\n\n\nAbstract\nWe will survey the moving-br
 acket/algebraic soliton approach to study complex geometric flows of homog
 eneous almost-Hermitian structures.\n
LOCATION:https://researchseminars.org/talk/GTACoS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sebastien Picard (University of British Columbia)
DTSTART:20220524T160000Z
DTEND:20220524T170000Z
DTSTAMP:20260418T133553Z
UID:GTACoS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTACoS/2/">G
 eometric Flows and Heterotic String Theory</a>\nby Sebastien Picard (Unive
 rsity of British Columbia) as part of Geometry & TACoS - Session VIII : Co
 mplex Geometric Flows\n\n\nAbstract\nThe first half of this talk will be a
  historical survey of geometric flows and their applications in various su
 bfields of differential geometry. We will then specialize to complex non-K
 ähler geometry\, and discuss links from complex geometry to heterotic str
 ing theory. Finally\, we will present some results on the Anomaly flow\, w
 hich is a geometric flow inspired from a system of equations in heterotic 
 string theory developed in joint works with T. Fei\, D.H. Phong and X.-W. 
 Zhang.\n
LOCATION:https://researchseminars.org/talk/GTACoS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Natasa Sesum (Rutgers University)
DTSTART:20220525T150000Z
DTEND:20220525T160000Z
DTSTAMP:20260418T133553Z
UID:GTACoS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTACoS/3/">A
 ncient solutions in geometric flows</a>\nby Natasa Sesum (Rutgers Universi
 ty) as part of Geometry & TACoS - Session VIII : Complex Geometric Flows\n
 \n\nAbstract\nWe will give an overview of our recent works regarding class
 ification of ancient solutions in the Mean Curvature Flow and the Ricci fl
 ow. We will briefly discuss the methods we used to achieve those results i
 n both flows and the importance of such results in singularity analysis.\n
LOCATION:https://researchseminars.org/talk/GTACoS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniele Angella (Università di Firenze)
DTSTART:20220525T160000Z
DTEND:20220525T170000Z
DTSTAMP:20260418T133553Z
UID:GTACoS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTACoS/4/">T
 he Chern-Ricci Flow on Inoue-Bombieri surfaces</a>\nby Daniele Angella (Un
 iversità di Firenze) as part of Geometry & TACoS - Session VIII : Complex
  Geometric Flows\n\n\nAbstract\nIn the tentative to move from the Kähler 
 to the non-Kähler setting\, one can formulate several problems concerning
  Hermitian metrics on complex manifolds with special curvature properties.
  Among these problems\, we mention the existence of Hermitian metrics with
  constant scalar curvature with respect to the Chern connection\, and the 
 generalizations of the Kähler-Einstein condition to the non-Kähler setti
 ng. They are usually translated and attacked as analytic pdes.\n\nIn this 
 context\, the Chern-Ricci flow plays an useful role. The Chern-Ricci flow 
 is a parabolic evolution equation for Hermitian metrics that extends the K
 ähler-Ricci flow to Hermitian manifolds. It is expected that the behavior
  of solutions of the Chern-Ricci flow deeply reflects the underlying compl
 ex structure. In particular\, understanding the behaviour of the Chern-Ric
 ci flow on non-Kähler compact complex surfaces is particularly interestin
 g\, due to the fact that minimal class VII surfaces are not yet completely
  classified.\n\nIn this talk\, we study the problem of uniform convergence
  of the normalized Chern-Ricci flow on Inoue-Bombieri surfaces with Gauduc
 hon metrics.\n\nThe talk is based on a joint work with Valentino Tosatti\,
  and on collaborations and discussions with Simone Calamai\, Francesco Ped
 iconi\, Cristiano Spotti.\n
LOCATION:https://researchseminars.org/talk/GTACoS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mario Garcia-Fernandez (Universidad Autónoma de Madrid)
DTSTART:20220526T150000Z
DTEND:20220526T160000Z
DTSTAMP:20260418T133553Z
UID:GTACoS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTACoS/5/">N
 on-Kähler Calabi-Yau geometry and pluriclosed flow</a>\nby Mario Garcia-F
 ernandez (Universidad Autónoma de Madrid) as part of Geometry & TACoS - S
 ession VIII : Complex Geometric Flows\n\n\nAbstract\nIn this talk I will o
 verview joint work with J. Jordan and J. Streets\, in arXiv:2106.13716\, a
 bout Hermitian\, pluriclosed metrics with vanishing Bismut-Ricci form. The
 se metrics give a natural extension of Calabi-Yau metrics to the setting o
 f complex\, non-Kähler manifolds\, and arise independently in mathematica
 l physics. We reinterpret this condition in terms of the Hermitian-Einstei
 n equation on an associated holomorphic Courant algebroid\, and thus refer
  to solutions as Bismut Hermitian-Einstein. This implies Mumford-Takemoto 
 slope stability obstructions\, and using these we exhibit infinitely many 
 topologically distinct complex manifolds in every dimension with vanishing
  first Chern class which do not admit Bismut Hermitian-Einstein metrics. T
 his reformulation also leads to a new description of pluriclosed flow\, as
  introduced by Streets and Tian\, implying new global existence results. I
 n particular\, on all complex non-Kähler surfaces of nonnegative Kodaira 
 dimension. On complex manifolds which admit Bismut-flat metrics we show gl
 obal existence and convergence of pluriclosed flow to a Bismut-flat metric
 .\n
LOCATION:https://researchseminars.org/talk/GTACoS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yury Ustinovskiy (Lehigh University)
DTSTART:20220526T160000Z
DTEND:20220526T170000Z
DTSTAMP:20260418T133553Z
UID:GTACoS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTACoS/6/">G
 eneralized Ricci flow and its solitons in complex geometry</a>\nby Yury Us
 tinovskiy (Lehigh University) as part of Geometry & TACoS - Session VIII :
  Complex Geometric Flows\n\n\nAbstract\nGeneralized Ricci flow is a natura
 l flow coupling the Ricci flow with an evolution equation for a closed 3-f
 orm. This flow emerges in two  different settings in complex geometry expa
 nding the applicability of the Ricci flow beyond the world of Kähler mani
 folds. The purpose of the talk is to explain how the steady soliton equati
 ons for this flow give rise to the notions of canonical metrics in non-Kä
 hler and bi-Hermitian complex geometry. The corresponding differential equ
 ations have been long known in physics\, so the description and classifica
 tion of compact/complete solutions is of great interest. We show how the r
 ich complex-geometric structure of the underlying manifolds allows for the
  adaptation of many methods of the Kähler geometry to the study of the Ge
 neralized Ricci flow and its solitons.\n
LOCATION:https://researchseminars.org/talk/GTACoS/6/
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