You are cordially invited to the seminars organized by the Department of Mathematics.<\/p>\n
Speaker: Ratko Darda (Sabanc\u0131 University)<\/p>\n
\u201cManin\u2019s conjecture beyond varieties\u201d<\/p>\n
Abstract: A central question in number theory asks how the solutions to polynomial equations are distributed among the rational numbers. The answer turns out to depend strongly on the geometry of the corresponding variety \u2013 the space defined by those equations.<\/p>\n
When rational solutions are plentiful, their behavior is predicted by Manin\u2019s conjecture, a deep insight from the 1990s that connects arithmetic counts with geometric invariants. This conjecture has guided much of modern research in Diophantine geometry.
\nOur recent work places Manin\u2019s conjecture in a new setting\u2014that of stacks, geometric objects that generalize varieties by capturing symmetries and moduli phenomena. This broader perspective not only extends the conjecture but also sheds light on arithmetic phenomena such as the occurrence of Galois extensions, a topic that, at first glance, seems unrelated to counting solutions of polynomial equations.<\/p>\n
Date: November 17, Monday
\nTime: 11:00 (Turkey)
\nPlace: Zoom<\/p>\n
To request the event link, please send a message to turker.ozsari@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the seminars organized by the Department of Mathematics. Speaker: Ratko Darda (Sabanc\u0131 University) \u201cManin\u2019s conjecture beyond varieties\u201d Abstract: A central question in number theory asks how the solutions to polynomial equations are distributed among the rational numbers. The answer turns out to depend strongly on [\u2026] <\/p>\n