![]() |
COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. | ![]() |
University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Spin(7)-instantons, the Bogomolov inequality and stable bundles on abelian 4-folds.
Spin(7)-instantons, the Bogomolov inequality and stable bundles on abelian 4-folds.Add to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Ivan Smith. Using gauge theory for Spin(7) manifolds of dimension 8, we develop a procedure, called Spin-rotation, which transforms (stable) holomorphic structures on a vector bundle over a complex torus of dimension 4 into a new holomorphic structure over a different complex torus. We show non-trivial examples of this procedure by rotating a decomposable Weil abelian variety into a non-decomposable one. As a byproduct, we obtain a Bogomolov type inequality, which gives restrictions for the existence of stable bundles on an abelian variety of dimension 4. This talk is part of the Differential Geometry and Topology Seminar series. This talk is included in these lists:
Note that ex-directory lists are not shown. |
Other listsSpecial Veterinary Medicine Seminars Climate and Sustainable Development Finance for Industrial Sustainability in Developing Countries Soft MatterOther talksPhysico-chemical biology in practice, 1920s–1930s Microsporidia: diverse, opportunistic and pervasive pathogens Positive definite kernels for deterministic and stochastic approximations of (invariant) functions Atmospheric Structure Revealed by Refraction of Routine Radio Transmissions from Civil Aircraft. CANCELLED: Beverly Gage: G-Man: J. Edgar Hoover and the American Century |