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UID:165e5e06f16f2edc6f13dd308667f5ac
CATEGORIES:Topology/Geometry Seminar
CREATED:20251113T195243
SUMMARY:Visualizing Ricci Flow
LOCATION:Hill 705
DESCRIPTION:Riemannian metrics are the simplest generalizations of Euclidean geometry t
 o smooth manifolds. The Ricci curvature of a metric measures, in an average
 d sense, how the geometry deviates from being flat. The tensor $-2,mathrm{R
 ic}$ can be viewed as a Laplacian acting on the metric, so Hamilton’s Ricci
  flow $partial_t g = -2,mathrm{Ric}$ is, morally, the heat equation for met
 rics. In this expository talk, based on the work of others, we introduce th
 e Ricci flow through visual depictions of how singularities may form and di
 scuss qualitative aspects of the geometry near singularities.\n
X-ALT-DESC;FMTTYPE=text/html:<p><span style="color: #3d3d3d; font-family: 'Open Sans'; font-size: 17.333
 3px; font-style: normal; font-weight: 400; letter-spacing: normal; orphans:
  2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; w
 ord-spacing: 0px; white-space: normal; float: none;">Riemannian metrics are
  the simplest generalizations of Euclidean geometry to smooth manifolds. Th
 e Ricci curvature of a metric measures, in an averaged sense, how the geome
 try deviates from being flat. The tensor $-2,mathrm{Ric}$ can be viewed as 
 a Laplacian acting on the metric, so Hamilton’s Ricci flow $partial_t g = -
 2,mathrm{Ric}$ is, morally, the heat equation for metrics. In this exposito
 ry talk, based on the work of others, we introduce the Ricci flow through v
 isual depictions of how singularities may form and discuss qualitative aspe
 cts of the geometry near singularities.</span></p>
CONTACT:Bennett Chow, UCSD &amp; IAS
DTSTAMP:20260827T094944
DTSTART;TZID=America/New_York:20251118T160000
DTEND;TZID=America/New_York:20251118T170000
SEQUENCE:0
TRANSP:OPAQUE
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