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DTSTAMP:20170901T081715Z
DTSTART;TZID=America/Los_Angeles:20170906T160000
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TRANSP:OPAQUE
SUMMARY:Topology Seminar (Main Talk): Local constructions of triangulated manifolds.
UID:111263-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:3 Evans Hall
DESCRIPTION:Bruno Benedetti\, University of Miami\n\nA "tree of tetrahedraā€¯ is a simplicial complex that is homeomorphic to the 3-ball and that has a tree as dual graph. Starting with a tree of tetrahedra\, suppose that you are allowed to recursively glue together two *incident* boundary triangles. (You can perform this type of move as many times you want.) Call "Mogami manifolds" the triangulated 3-manifolds that you can obtain this way. Are all triangulated 3-balls Mogami?\n\nThis question\, originally asked in a 1995 quantum physics paper\, turns out to be related to known topological and combinatorial properties\, like simply-connectedness and shellability. A "yes" answer would imply a much desired result in combinatorics\, namely\, that there are only exponentially many triangulated 3-balls. Using elementary knot theory\, we show that unfortunately the answer is "no".
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=111263&view=preview
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