Speaker: | Wai-kit Yeung (Kavli IPMU) |
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Title: | Calabi-Yau categories and topological field theory (Postdoc Colloquium) |
Date (JST): | Fri, Sep 03, 2021, 11:30 - 12:00 |
Place: | Zoom |
Related File: | 2682.pdf |
Abstract: | In algebraic geometry, we study varieties. These are spaces defined by algebraic equations. Three special kinds of varieties form the basic building blocks in algebraic geometry: they are the Fano varieties ("positive" case), canonically polarized varieties ("negative" case) and Calabi-Yau varieties ("neutral" case). We focus on the Calabi-Yau (or "neutral") case. Due to its "neutrality", its derived category has a self-dual structure. This motivates one to study these self-dual structures in general, which turns out to be a rich subject, with examples coming from topology, symplectic geometry, representation theory, etc. Moreover, Calabi-Yau categories are closely related to topological field theories. |
Contact: | https://ipmu.zoom.us/webinar/register/WN_VTTp-bOdQY6GHCMDQrFVIg |
Remarks: | IPMU Postdoc Colloquium Series Registration necessary from here: https://ipmu.zoom.us/webinar/register/WN_VTTp-bOdQY6GHCMDQrFVIg |