МЦМН

Дата: 30.10.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Петър Далаков, ИМИ - БАН Курс: Introduction to Projective Structures and Opers Резюме: A complex projective structure on a Riemann surface is determined by an atlas, whose transition functions are Moebius (fractional-linear) transformations. There are multiple   descriptions of these structures: as certain flat PGL_2-bundles, as Sturm-Liouville operators, as holomorphic connections on the (first) jet bundle of the dual of a theta-characteristic, etc. This mini-course is an introduction to the fundamentals of projective structures, accessible to students and non-specialists. We will also explore links to some classical geometric objects (such as quadratic differentials and Schwarzian derivatives), as well as some generalisations (G-opers) introduced by Beilinson and Drinfeld. https://icms.bg/introduction-to-projective-structures-and-opers/    

Дата: 31.10.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Петър Далаков, ИМИ - БАН Курс: Introduction to Projective Structures and Opers Резюме: A complex projective structure on a Riemann surface is determined by an atlas, whose transition functions are Moebius (fractional-linear) transformations. There are multiple   descriptions of these structures: as certain flat PGL_2-bundles, as Sturm-Liouville operators, as holomorphic connections on the (first) jet bundle of the dual of a theta-characteristic, etc. This mini-course is an introduction to the fundamentals of projective structures, accessible to students and non-specialists. We will also explore links to some classical geometric objects (such as quadratic differentials and Schwarzian derivatives), as well as some generalisations (G-opers) introduced by Beilinson and Drinfeld. https://icms.bg/introduction-to-projective-structures-and-opers/    

Дата: 02.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Петър Далаков, ИМИ - БАН Курс: Introduction to Projective Structures and Opers Резюме: A complex projective structure on a Riemann surface is determined by an atlas, whose transition functions are Moebius (fractional-linear) transformations. There are multiple   descriptions of these structures: as certain flat PGL_2-bundles, as Sturm-Liouville operators, as holomorphic connections on the (first) jet bundle of the dual of a theta-characteristic, etc. This mini-course is an introduction to the fundamentals of projective structures, accessible to students and non-specialists. We will also explore links to some classical geometric objects (such as quadratic differentials and Schwarzian derivatives), as well as some generalisations (G-opers) introduced by Beilinson and Drinfeld. https://icms.bg/introduction-to-projective-structures-and-opers/    

Дата: 06.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Петър Далаков, ИМИ - БАН Курс: Introduction to Projective Structures and Opers Резюме: A complex projective structure on a Riemann surface is determined by an atlas, whose transition functions are Moebius (fractional-linear) transformations. There are multiple   descriptions of these structures: as certain flat PGL_2-bundles, as Sturm-Liouville operators, as holomorphic connections on the (first) jet bundle of the dual of a theta-characteristic, etc. This mini-course is an introduction to the fundamentals of projective structures, accessible to students and non-specialists. We will also explore links to some classical geometric objects (such as quadratic differentials and Schwarzian derivatives), as well as some generalisations (G-opers) introduced by Beilinson and Drinfeld. https://icms.bg/introduction-to-projective-structures-and-opers/    

Дата: 14.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Валдемар Цанов, ИМИ - БАН Курс: Invariant theory, homogeneous projective varieties, and momentum maps Резюме: Let f:K\to U(V) be a unitary representation of a compact Lie group K with Lie algebra \mathfrak k. This series of talks will be devoted to some recent developments based on relations between the following three classical notions. The ring of K-invariant polynomials \mathbb C^K is finitely generated by homogeneous elements, by a theorem of Hilbert, but the proof is notoriously nonconstructive. The degrees of a minimal set of generators are canonically determined by f, and will be the focus of the discussion. The K-equivariant momentum map \mu:\mathbb P(V)\to \mathfrak k^* associated to the Fubini-Study form encodes [...]

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 15 ноември 2023 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Topics in non-archimedean analytic geometry (I), by Jiachang Xu – International Center for Mathematical Sciences (ICMS – Sofia) Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09

Дата: 16.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Валдемар Цанов, ИМИ - БАН Курс: Invariant theory, homogeneous projective varieties, and momentum maps Резюме: Let f:K\to U(V) be a unitary representation of a compact Lie group K with Lie algebra \mathfrak k. This series of talks will be devoted to some recent developments based on relations between the following three classical notions. The ring of K-invariant polynomials \mathbb C^K is finitely generated by homogeneous elements, by a theorem of Hilbert, but the proof is notoriously nonconstructive. The degrees of a minimal set of generators are canonically determined by f, and will be the focus of the discussion. The K-equivariant momentum map \mu:\mathbb P(V)\to \mathfrak k^* associated to the Fubini-Study form encodes [...]

Дата: 21.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Валдемар Цанов, ИМИ - БАН Курс: Invariant theory, homogeneous projective varieties, and momentum maps Резюме: Let f:K\to U(V) be a unitary representation of a compact Lie group K with Lie algebra \mathfrak k. This series of talks will be devoted to some recent developments based on relations between the following three classical notions. The ring of K-invariant polynomials \mathbb C^K is finitely generated by homogeneous elements, by a theorem of Hilbert, but the proof is notoriously nonconstructive. The degrees of a minimal set of generators are canonically determined by f, and will be the focus of the discussion. The K-equivariant momentum map \mu:\mathbb P(V)\to \mathfrak k^* associated to the Fubini-Study form encodes [...]

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 22 ноември 2023 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Topics in non-archimedean analytic geometry (II) by Jiachang Xu – International Center for Mathematical Sciences (ICMS – Sofia) Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09

Дата: 23.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Валдемар Цанов, ИМИ - БАН Курс: Invariant theory, homogeneous projective varieties, and momentum maps Резюме: Let f:K\to U(V) be a unitary representation of a compact Lie group K with Lie algebra \mathfrak k. This series of talks will be devoted to some recent developments based on relations between the following three classical notions. The ring of K-invariant polynomials \mathbb C^K is finitely generated by homogeneous elements, by a theorem of Hilbert, but the proof is notoriously nonconstructive. The degrees of a minimal set of generators are canonically determined by f, and will be the focus of the discussion. The K-equivariant momentum map \mu:\mathbb P(V)\to \mathfrak k^* associated to the Fubini-Study form encodes [...]