Colloquium: Tuesday, January 15, 2019. Speaker: Ilya Tyomkin (Ben-Gurion). Title: “A linearization of algebraic geometry”.
In the past 15 years, a new method of linearization of algebraic varieties was developed. The method, called tropicalization, associates to algebra-geometric objects over a valued field certain piecewise linear objects satisfying some harmonicity conditions. In my talk, I will discuss tropicalization, give examples, and indicate a few applications of the method obtained in the past decade.