Joint Mathematics Meetings AMS Special Session
Current as of Saturday, January 13, 2024 03:30:04
- Program
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- Deadlines
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- Timetable
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- Inquiries: meet@ams.org
2024 Joint Mathematics Meetings (JMM 2024)
- Moscone North/South, Moscone Center, San Francisco, CA
- January 3-6, 2024 (Wednesday - Saturday)
- Meeting #1192
Associate Secretary for the AMS Scientific Program:
Michelle Ann Manes, American Institute of Mathematics mmanes@secretariat.ams.org
AMS Special Session on Recent Developments on Markoff Triples
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Thursday January 4, 2024, 8:00 a.m.-12:00 p.m.
AMS Special Session on Recent Developments on Markoff Triples, I
Markoff triples are integer solutions to x^2+y^2+z^2-xyz=0. Many arithmetic aspects of such triples remain a mystery: e.g. it is not known whether there are infinitely primes that occur in Markoff triples, and only recently was it shown that there are infinitely many composite numbers occurring in Markoff triples. A key object behind these questions is the family of Markoff mod-p graphs. This session will explore recent developments about these graphs, and applications to Markoff triples.
Room 310, The Moscone Center
Organizers:
Elena Fuchs, UC Davis efuchs@math.ucdavis.edu
Daniel Everett Martin, Clemson University
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8:00 a.m.
Convexity and uniqueness for Markoff numbers
Greg McShane*, Institut Fourier, Université Grenoble Alpes
(1192-11-31474) -
9:00 a.m.
Markoff graphs mod p: non-planarity and short cycles
Matthew de Courcy-Ireland*, Stockholm University
(1192-11-29045) -
9:30 a.m.
On the Markoff equation over polynomial rings
Ricardo Conceicao*, Gettysburg College
Rachael Kelly, Gettysburg College
Samuel VanFossen, Gettysburg College
(1192-11-31824) -
10:00 a.m.
Isotrivial Markoff-type K3 surfaces and orbits over finite fields
Joseph H. Silverman*, Brown University
(1192-37-28594) -
11:00 a.m.
Diophantine Approximation on Conics
Evan M. O'Dorney*, Carnegie Mellon University
(1192-11-29109) -
11:30 a.m.
Connectivity of Markoff mod-$p$ Graphs and Maximal Divisors
Jillian Eddy, UC Davis
Elena Fuchs, UC Davis
Matthew Litman*, UC Davis
Daniel Everett Martin, Clemson University
Nico Tripeny, Haverford College
(1192-11-31234)
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8:00 a.m.
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Thursday January 4, 2024, 2:00 p.m.-5:00 p.m.
AMS Special Session on Recent Developments on Markoff Triples, II
Markoff triples are integer solutions to x^2+y^2+z^2-xyz=0. Many arithmetic aspects of such triples remain a mystery: e.g. it is not known whether there are infinitely primes that occur in Markoff triples, and only recently was it shown that there are infinitely many composite numbers occurring in Markoff triples. A key object behind these questions is the family of Markoff mod-p graphs. This session will explore recent developments about these graphs, and applications to Markoff triples.
Room 310, The Moscone Center
Organizers:
Elena Fuchs, UC Davis efuchs@math.ucdavis.edu
Daniel Everett Martin, Clemson University
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2:00 p.m.
Computational methods for investigating the Markoff graph modulo $p$
Colby Austin Brown*, University of California, Davis
(1192-11-31601) -
2:30 p.m.
Bounding Lifts of Markoff Triples $\mod p$
Elisa Bellah, Carnegie Mellon University
Siran Chen*, Carnegie Mellon University
Elena Fuchs, UC Davis
Lynnelle Ye, N/A
(1192-11-30037) -
3:00 p.m.
Circle packings and the Markoff equation
Arthur Baragar*, University of Nevada, Las Vegas
(1192-14-30942) -
4:00 p.m.
Boundary slopes for the Markov ordering of the rationals
Jonah Gaster*, University of Wisconsin, Milwaukee
(1192-11-31129) -
4:30 p.m.
Orbifold Markov Numbers
Esther Banaian*, Aarhus University
Archan Sen, University of California Berkeley
(1192-11-30564)
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2:00 p.m.