Colloquium: Alon Nishry (TAU) - Zeros of random power series

Thu, 30/05/201914:30-15:30
Manchester Building (Hall 2), Hebrew University Jerusalem

A central problem in complex analysis is how to describe zero sets of power series in terms of their coefficients. In general, it is difficult to obtain precise results for a given function. However, when the function is defined by a power series, whose coefficients are independent random variables, such results can be obtained. Moreover, if the coefficients are complex Gaussians, the results are especially elegant. In particular, in this talk I will discuss some different notions of "rigidity" of the zero sets.