Mathematics Colloquium

Thursday, October 12, 2017
4:20 PM - 5:20 PM (ET)
Exley Science Center Tower ESC 121
Event Type
Canalia, Caryn

Speaker: James Freitag, University of Illinois-Chicago 

Title: Algebraic relations between solutions of Painlevé equations 

Abstract: Painlevé equations are families of second order nonlinear differential equations which were first discovered in the late 19th century, in connection with problems in analysis around analytic continuation. Interest in the equations has increased in large part because of connections to numerous other subjects including random matrix theory, monodromy of linear differential equations, and diophantine geometry. In this talk, we will describe recent interactions with model theory which have resulted in the proof of several conjectures related to transcendence of solutions of Painlevé equations. 

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