Dear Colleagues and Students,<\/p>\n
You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Alex Degtyarev (Bilkent)<\/p>\n
\u201cLines generate the Picard group of a Fermat surface -II\u201d<\/p>\n
Abstract: I will explain a purely topological solution of a long standing algebra-geometric problem, viz. the so-called Shioda conjecture. After a brief introduction to the subject, I will state the problem and reduce it to the computation of the fundamental group (or, rather, properly understood Alexander module) of a certain arrangement of lines in the plane. Then, in the bulk of the talk, I will try to explain this computation in detail: We will discuss the braid monodromy, Zariski–van Kampen theorem (with its pros and contras) computing the fundamental group of a plane curve, and, essentially, Fox’ free calculus explained via cellular complexes.<\/p>\n
The talk will largely be accessible to graduate and senior undergraduate students. At the end of the talk I am planning to discuss the generalizations to the so-called Delsarte surfaces and state a few open problems that may constitute a master or Ph.D. project.<\/p>\n
Date: Monday, December 2, 2019
\nTime: 13:40
\nPlace: Mathematics Seminar Room, SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"
Dear Colleagues and Students, You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Alex Degtyarev (Bilkent) \u201cLines generate the Picard group of a Fermat surface -II\u201d Abstract: I will explain a purely topological solution of a long standing algebra-geometric problem, viz. the so-called Shioda [\u2026] <\/p>\n