Seminars & Colloquia Calendar
Counting fixed points of pseudo-Anosov maps
David Futer (Temple University)
Location: Hill 705
Date & time: Tuesday, 23 January 2024 at 4:00PM - 5:00PM
Seminar website: https://sites.google.com/view/rutgersgeometrytopologysem2324/home
Let S be a hyperbolic surface and f a pseudo-Anosov map on S. I will describe a result that predicts the number of fixed points of f, up to constants that depend only on the surface S. If f satisfies a mild condition called “strongly irreducible,” then the logarithm of the number of fixed points of f is coarsely equal to its translation length on the Teichmuller space of S. Without this mild condition, there is still a coarse formula.
This result and its proof has some applications to the search for surface subgroups of mapping class groups, and relations between the hyperbolic volume and the knot Floer invariants of fibered hyperbolic knots. This is joint work with Tarik Aougab and Sam Taylor.
Eilidh McKemmie -Charles Weibel Organizer's Page
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Sepehr Assadi Seminar webpage
Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage
Robert Dougherty-Bliss and Doron Zeilberger --> homepage
Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage
Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage
Hong Chen Seminar webpage
Fanxin Wu and Nkhalo Malawo Organizer's website
James Holland; Organizer website
Organizers: Maxime Van de Moortel and Avy Soffer. Organizer's Page
Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage
Organizer: Luochen Zhao
Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page
Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage
Simon Thomas website
Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page
Joel Lebowitz, Michael Kiessling
Yanyan Li, Dennis Kriventsov Organizer's Webpage
Alex V. Kontorovich, Vlada Sedláček seminar website
Stephen D. Miller
Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum
Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page
Fioralba Cakoni Seminar webpage
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