Дата: 06.08.2024 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: проф. Младен Димитров (Университет на Лил) Доклад: P-adic L-functions and the geometry of the Eigencurve Допълнителна информация: https://icms.bg/p-adic-l-functions-and-the-geometry-of-the-eigencurve-talk-by-mladen-dimitrov/ Резюме. For centuries, understanding special values of L-functions has been a significant research topic in number theory. Their study has been central to many celebrated pieces of mathematics, from Dirichlet’s theorem on primes in arithmetic progressions and the class number formula to the Riemann hypothesis and the Birch and Swinnerton-Dyer (BSD) conjecture, two of the famous millennium problems. The BSD conjecture predicts that the Mordell–Weil rank of an elliptic curve is given by the order of vanishing of its L-function the central point. Iwasawa theory, in turn, seeks to relate the arithmetic over the p-adic [...]

В петък (07.06) от 14:00 часа в зала 403 на ИМИ ще се състои съвместна сбирка на семинарите на МЦМН и секция МОИ. Доклад на тема: Multivariate P- and Q-polynomial association schemes ще изнесе  Eiichi Bannai (Kyushu University). https://icms.bg/multivariate-p-and-q-polynomial-association-schemes-talk-by-eiichi-bannai/

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 15 май 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Доклад на тема Hyperbolic amoebas ще изнесе Михаил Школников, ИМИ - БАН. Abstract: Classical amoebas serve as a tool to study algebraic varieties and as one of the entry points to tropical geometry. The original definition involves a logarithmic projection of a subvariety of a complex algebraic torus, which can be interpreted as forgetting the phase, i.e. the arguments of complex numbers. In group-theoretic terms, this projection map may be thought of as passing to the quotient by the maximal compact subgroup. Suppose one replaces the algebraic torus with a complex three-dimensional matrix group. In that case, [...]

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 24 април 2024 г. от 16:00 ч. в зала 403: Доклад на тема Generalised Plucker formula ще изнесе Андрей Бенгуш-Ласние, МЦМН. Abstract: In order to classify objects in singularity theory and algebraic geometry, we define invariants associated to varieties or germs of singularities and hope to have enough tools to compute them easily. From classical projective duality, for any variety X , we can define a dual variety X∗ and we call the class of X the degree of X∗ . Plücker’s formula allows one to compute this class for plane curves with a certain set of nodes, cusps and tacnodes. We will start our talk by recalling the [...]