Pinsky Lecture Series

Title: How to get rid of singularities
Speaker: Yakov Eliashberg
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Abstract The goal of Flexible Mathematics is to test the limits of what is possible in the mathematical world. This exploration often brings unexpected and counter-intuitive results, such as Steven Smale’s 2-sphere eversion and John Nash’s $C^1$-isometric phenomenon. Building on the results of Smale and Nash Mikhail Gromov developed powerful general techniques which revealed large classes of differential equations and inequalities whose solutions exhibit a similar flexible behavior. This created a new area, which is now called the h-principle. Some of the most interesting applications of the h-principle belong to symplectic topology, where in recent year new methods and applications were found. Other important area of applications of the h-principle techniques is in the theory of singularities and topology.
Date: Friday, May 31, 2019
Time: 4:00 pm
Where: Lunt 105
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Contact email: zelditch@math.northwestern.edu
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