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SUMMARY:Yue Zhang (UC Berkeley)
DTSTART:20200513T211000Z
DTEND:20200513T220000Z
DTSTAMP:20260422T225658Z
UID:3dimensionsBerkeley/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/3dimensionsB
 erkeley/1/">Guts in sutured decomposition and the Thurston Norm</a>\nby Yu
 e Zhang (UC Berkeley) as part of 3-manifold seminar\n\n\nAbstract\nWe defi
 ne a facet surface of a homology class in an irreducible 3-manifold as a m
 aximal collection of Thurston norm minimizing surfaces and the guts of thi
 s homology class as the nontrivial parts in the sutured decomposition of t
 he 3-manifold along a facet surface. We prove that the guts do not depend 
 on the selection of the facet surfaces and are invariant in the same Thurs
 ton cone under some condition. Moreover\, the rank of the restriction map 
 of the second relative homology from the manifold to the guts is exactly t
 he codimension of the Thurston cone for most of the homology classes\, and
  the guts of different homology classes are related by some sutured decomp
 osition. This is a joint work with Ian Agol.\n
LOCATION:https://researchseminars.org/talk/3dimensionsBerkeley/1/
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BEGIN:VEVENT
SUMMARY:Yue Zhang (UC Berkeley)
DTSTART:20200611T210000Z
DTEND:20200611T220000Z
DTSTAMP:20260422T225658Z
UID:3dimensionsBerkeley/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/3dimensionsB
 erkeley/2/">The Minimal Volume Orientable Hyperbolic 3-Manifold with 3 Cus
 ps</a>\nby Yue Zhang (UC Berkeley) as part of 3-manifold seminar\n\n\nAbst
 ract\nThe minimal volume of orientable hyperbolic manifold with a given nu
 mber of cusps has been found for 0\,1\,2\,4 cusps\, while the minimal volu
 me of 3-cusped orientable hyperbolic manifolds remains unknown. By using g
 uts in sutured manifolds and pared manifolds\, we are able to show that fo
 r an orientable hyperbolic 3-manifold with 3 cusps such that every second 
 homology class is libroid\, its volume is at least $5.49\\ldots = 6 \\time
 s $Catalan’s constant.\n\nZoom link: https://berkeley.zoom.us/j/40875894
 93\n
LOCATION:https://researchseminars.org/talk/3dimensionsBerkeley/2/
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