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TZID:Asia/Tokyo
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DTSTART:19510909T010000
TZOFFSETFROM:+1000
TZOFFSETTO:+0900
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BEGIN:VEVENT
UID:calendar.22400.field_date.0@appserver-4640afe5
DTSTAMP:20190520T184939Z
CREATED:20190206T024212Z
DESCRIPTION:.... Date\n\nMonday, February 18, 2019 - 16:00 to 17:00 ....
Description\n\n*Title*: Alternating knots are rare\n\n*Abstract*: It has l
ong been suspected that only a very small subset of knots are\n\n\n alte
rnating. Thistlethwaite's remarkable 1998 proof that alternating links ar
e\n\n exponentially rare yields strong evidence for the rarity of alterna
ting knots,\n\n but does not prove it. Thistlethwaite's argument relies
on two remarkable\n\n facts: First that alternating links satisfy Tait's
flyping conjecture (work\n\n with Menasco), and second that alternatin
g links can be enumerated \n\n (work with Sundberg). While the flyping co
njecture still applies to\n\n alternating knots, no enumeration of alter
nating knots yet exists. Using a\n\n pattern theorem for alternating kno
ts, we can avoid the need for precise\n\n enumeration and conclusively s
how that alternating knots are in fact rare.\n\n We'll discuss both the
proof of the rarity of alternating links and how to\n\n extend this into
a proof of the rarity of alternating knots.
DTSTART;TZID=Asia/Tokyo:20190218T160000
DTEND;TZID=Asia/Tokyo:20190218T170000
LAST-MODIFIED:20190206T024212Z
SUMMARY:[Geometry, Topology and Dynamics Seminar] Alternating knots are ra
re by Dr. Harrison Chapman (Colorado State University)
URL;TYPE=URI:https://groups.oist.jp/manifolds/event/geometry-topology-and-d
ynamics-seminar-alternating-knots-are-rare-dr-harrison
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