News

14 OCT 2020Lecture course "Introduction to nonArchimedean geometry"As part of the activity of the Warsaw Doctoral School of Mathematics and Computer Science, which incorporates IMPAN, in the Winter semester 20/21 we shall have a lecture course "Introduction to nonArchimedean geometry" taught by Piotr Achinger. The lectures will take place on Mondays and Thursdays at 4:15pm. Due to the pandemic, the course will happen via Zoom. If you are interested in attending, please contact the lecturer. The lecture will start on Thursday, October 15. More information about the course: http://achinger.impan.pl/lecture20f.html

12 OCT 2020Vesselin Dimitrov told about his proof of the SchinzelZassenhaus conjectureToday at the number theory seminar Veselin Dimitrov from the University of Toronto was speaking about his proof of the SchinzelZassenhus conjecture. The conjecture describes behaviour of complex roots of polynomials with integer coefficients. In 1960s Andrzej Schinzel and Hans Zassenhaus predicted that either all roots are on the unit circle (such polynomials are called cyclotomic) or there is a root at some mimimum distance away, z > 1 + C/n, where n is the degree of the polynomial and C is an absolute constant. At the end of 2019 Dimitrov gave a proof, which combined ingenious elementary observations and deep knowledge of properties of analytic functions. In the spring professor Dimitrov accepted the invitation to give a lecture at IM PAN, but it was later cancelled due to the pandemics. As the number theory seminar at the Institute resumed, professor Dimitrov kindly offered us a remote lecture. He outlines the proof of the conjecture, discusses other possible applications of his methods and states some open problems. The record of the talk is available here.