Graduate Student Seminar Talk - Mithun Padinhare Veettil
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Fri, Mar 27, 2026
5 PM – 6 PM EDT (GMT-4)
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Affiliation: Binghamton University
Title: Some Aspects of Markoff Equation and Markoff Unicity Conjecture
Abstract:
The Markoff equation is a Diophantine equation $x^2+y^2+z^2=3xyz$, and the solution to the equation $(a,b,c)$ is called a Markoff triple. We will look at some interesting aspects of the Markoff triple and construct the Markoff "tree" that emerges from these triples. We will also see why odd-indexed Fibonacci numbers occur on the vertices of the tree. Then we discuss some of the results towards the long-standing Markoff conjecture.
There will be pizza starting at 5:00 pm, we hope to see you all there!
Hosted By
Marwa Mosallam
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