On the crossroads of enumerative geometry and representation theory - Andrei Okounkov - ICM2018

Plenary Lecture 4
On the crossroads of enumerative geometry and geometric representation theory
Andrei Okounkov
Abstract: The subjects in the title are interwoven in many different and very deep ways. I recently wrote several expository accounts that reflect a certain range of developments, but even in their totality they cannot be taken as a comprehensive survey. In the format of a 30-page contribution aimed at a general mathematical audience, I have decided to illustrate some of the basic ideas in one very interesting example - that of Hilb(ℂ²,n), hoping to spark the curiosity of colleagues in those numerous fields of study where one should expect applications.
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