MIT Probability Seminar

Monday, October 30, 2023 at 4:15pm to 5:15pm

Building 2, 2-147
182 MEMORIAL DR, Cambridge, MA 02139

Speaker:  Jacopo Borga (Stanford University)

Title:  On the geometry of uniform meandric systems

Abstract:  In 1912, Henri Poincaré asked the following simple question: “In how many different ways can a simple loop in the plane, called a meander, cross a line a specified number of times?” 
Despite many efforts, this question remains open after over a century. 
In this talk, I will focus on meandric systems, which are coupled collections of meanders. 
I will present (1) a conjecture which describes the large-scale geometry of a uniform meandric system and  (2) several rigorous results which are consistent with this conjecture. 
Based on joint work with Ewain Gwynne and Minjae Park.



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