During the semesters, we will have a Learning seminar, open to any who wishes to participate, where we explore different aspects arising in Poisson Geometry (either older or more recent developments of the field) in order to better understand them and become better and more well-rounded mathematicians, allowing us to use different concepts in our research.<\/p>\n\n\n\n
In the Winter Semester 26\/27, we shall delve into the theory of Poisson structures in the context of Complex Geometry. As this latter geometry lies in the intersection of differential and algebraic geometry, many interesting features appear when one introduces Poisson structures into the frame. For more details and a tentative schedule, follow the link here<\/a>.<\/p>\n<\/div><\/div>\n\n\n\n Throughout the Summer Semester 2026, we will study equivariant cohomology. Equivariant cohomology is an invariant associated to a continuous (respectively smooth) action of a topological (resp. Lie group) on a topological space (resp. smooth manifold), with de Rham cohomology providing a key model for smooth manifolds using differential forms. More details here<\/a>.<\/p>\n<\/div><\/div>\n\n\n\n During the Winter Semester 25\/26, we will follow the paper of Richard S. Hamilton \u2018The inverse function theorem of Nash and Moser\u2019. This paper and the arguments presented therein constitute a fundamental tool in proving theorems in Poisson Geometry and related fields and opens a wide range of possibilities for one to study certain types of infinite dimensional geometry. More details here<\/a>.<\/p>\n<\/div><\/div>\n\n\n\n In the Summer Semester 2025, we shall explore Deformation Quantisation and its connections to Physics, where one usually requires that classical theories can be transformed into quantum ones in a suitable mathematical manner. More details can be found here<\/a>.<\/p>\n<\/div><\/div>\n\n\n\n In our first Semester, we study Derived Geometry, particularly Derived Algebraic Geometry and Derived Symplectic Geometry, to better understand current developments in the field, as well as, possible extensions to a \u2018Derived Poisson Geometry\u2019. Check here<\/a> for a more detailed explanation and a tentative schedule.<\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":" During the semesters, we will have a Learning seminar, open to any who wishes to participate, where we explore different aspects arising in Poisson Geometry (either older or more recent developments of the field) in order to better understand them and become better and more well-rounded mathematicians, allowing us to use different concepts in our … Continue reading “Learning seminar”<\/span><\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-644","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.mi.uni-koeln.de\/PoissonGeometry\/wp-json\/wp\/v2\/pages\/644","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mi.uni-koeln.de\/PoissonGeometry\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mi.uni-koeln.de\/PoissonGeometry\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/PoissonGeometry\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mi.uni-koeln.de\/PoissonGeometry\/wp-json\/wp\/v2\/comments?post=644"}],"version-history":[{"count":33,"href":"https:\/\/www.mi.uni-koeln.de\/PoissonGeometry\/wp-json\/wp\/v2\/pages\/644\/revisions"}],"predecessor-version":[{"id":2688,"href":"https:\/\/www.mi.uni-koeln.de\/PoissonGeometry\/wp-json\/wp\/v2\/pages\/644\/revisions\/2688"}],"wp:attachment":[{"href":"https:\/\/www.mi.uni-koeln.de\/PoissonGeometry\/wp-json\/wp\/v2\/media?parent=644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}SS 2026: Equivariant cohomology<\/a><\/h3>\n\n\n\n
WS 25\/26: The inverse function theorem of Nash and Moser<\/a><\/h3>\n\n\n\n
SS 2025: Deformation Quantisation<\/a><\/h3>\n\n\n\n
WS 24\/25: Derived Geometry<\/a><\/h3>\n\n\n\n