BEGIN:VCALENDAR
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PRODID:researchseminars.org
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BEGIN:VEVENT
SUMMARY:Lashi Bandara (Deakin University)
DTSTART:20250818T100000Z
DTEND:20250818T110000Z
DTSTAMP:20260404T094529Z
UID:GARF/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GARF/
 1/">Hodge Theory in Nonsmooth Settings I</a>\nby Lashi Bandara (Deakin Uni
 versity) as part of Geometric Analysis and Related Fields\n\n\nAbstract\nT
 here has been a considerable amount of interest in the study of non-smooth
  geometries in the recent past. Taking motivation from the smooth settings
  with boundary\, where even nice operators can behave badly but where tech
 niques have been developed to understand these operators\, it is likely po
 ssible to consider operators in these non-smooth settings. This series wil
 l focus on a particular operator  - Hodge-Dirac type operators in the pres
 ence of measurable-coefficient Riemannian metrics on smooth manifolds. Hil
 bert space Hodge theory will be covered which can then be used to prove a 
 Hodge-type theorem even when the underlying manifold is non-compact.\n\nVe
 nue: https://meet.google.com/wha-yopd-trc\n
LOCATION:https://stable.researchseminars.org/talk/GARF/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lashi Bandara (Deakin University)
DTSTART:20250820T100000Z
DTEND:20250820T110000Z
DTSTAMP:20260404T094529Z
UID:GARF/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GARF/
 2/">Hodge Theory in Nonsmooth Settings II</a>\nby Lashi Bandara (Deakin Un
 iversity) as part of Geometric Analysis and Related Fields\n\nAbstract: TB
 A\n
LOCATION:https://stable.researchseminars.org/talk/GARF/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lashi Bandara (Deakin University)
DTSTART:20250822T100000Z
DTEND:20250822T110000Z
DTSTAMP:20260404T094529Z
UID:GARF/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GARF/
 3/">Hodge Theory in Nonsmooth Settings III</a>\nby Lashi Bandara (Deakin U
 niversity) as part of Geometric Analysis and Related Fields\n\nAbstract: T
 BA\n
LOCATION:https://stable.researchseminars.org/talk/GARF/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lu Wang (Yale University)
DTSTART:20250904T140000Z
DTEND:20250904T150000Z
DTSTAMP:20260404T094529Z
UID:GARF/4
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GARF/
 4/">Lower Bounds on Density for Topologically Nontrivial Minimal Cones</a>
 \nby Lu Wang (Yale University) as part of Geometric Analysis and Related F
 ields\n\n\nAbstract\nIn this talk\, we discuss recent progress on nearly o
 ptimal lower bounds on the density of regular minimal cones up to dimensio
 n six\, provided the complements of the cones are topologically nontrivial
 . This is based on joint work with Jacob Bernstein.\n
LOCATION:https://stable.researchseminars.org/talk/GARF/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amir Moradifam (University of California\, Riverside)
DTSTART:20250918T150000Z
DTEND:20250918T160000Z
DTSTAMP:20260404T094529Z
UID:GARF/5
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GARF/
 5/">The Sphere Covering Inequality and Its Applications</a>\nby Amir Morad
 ifam (University of California\, Riverside) as part of Geometric Analysis 
 and Related Fields\n\n\nAbstract\nWe show that the total area of two disti
 nct Gaussian curvature 1 surfaces with the same conformal factor on the bo
 undary\, which are also conformal to the Euclidean unit disk\, must be at 
 least 4π. In other words\, the areas of these surfaces must cover the who
 le unit sphere after a proper rearrangement. We refer to this lower bound 
 of total areas as the Sphere Covering Inequality. This inequality and its 
 generalizations are applied to a number of open problems related to Moser-
 Trudinger type inequalities\, mean field equations and Onsager vortices\, 
 etc\, and yield optimal results. In particular we confirm the best constan
 t of a Moser-Truidinger type inequality conjectured by A. Chang and P. Yan
 g in 1987. This is a joint work Changfeng Gui.\n\nGoogle meet room: https:
 //meet.google.com/wha-yopd-trc\n
LOCATION:https://stable.researchseminars.org/talk/GARF/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Theodora Bourni (University of Tennessee)
DTSTART:20251121T143000Z
DTEND:20251121T153000Z
DTSTAMP:20260404T094529Z
UID:GARF/6
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GARF/
 6/">Ancient Solutions to Free Boundary Curve Shortening Flow</a>\nby Theod
 ora Bourni (University of Tennessee) as part of Geometric Analysis and Rel
 ated Fields\n\n\nAbstract\nWe will discuss a classification result of both
  compact and non-compact convex ancient free boundary curve shortening flo
 ws in any convex domain of the Euclidean plane.\n\nVenue: https://meet.goo
 gle.com/wha-yopd-trc\n
LOCATION:https://stable.researchseminars.org/talk/GARF/6/
END:VEVENT
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