{"id":12480,"date":"2019-11-22T17:54:10","date_gmt":"2019-11-22T14:54:10","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=12480"},"modified":"2019-11-25T16:37:32","modified_gmt":"2019-11-25T13:37:32","slug":"math-seminar-lines-generate-the-picard-group-of-a-fermat-surface-alex-degtyarev-sa-141-140pm-november-25-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-lines-generate-the-picard-group-of-a-fermat-surface-alex-degtyarev-sa-141-140pm-november-25-en\/","title":{"rendered":"MATH Seminar: \u201cLines generate the Picard group of a Fermat surface,\u201d Alex Degtyarev, SA-141, 1:40PM November 25 (EN)"},"content":{"rendered":"
\n
\n
\n

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\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\u2013van Kampen theorem (with its pros and contras) computing the fundamental group of a plane curve, and, essentially, Fox\u2019 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, November 25, 2019
\nTime: 13:40
\nPlace: Mathematics Seminar Room, SA \u2013 141<\/p>\n<\/div>\n<\/div>\n<\/section>\n