BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Si Li (Tsinghua University) DTSTART:20210514T080000Z DTEND:20210514T090000Z DTSTAMP:20260423T040227Z UID:TQFT/37 DESCRIPTION:Title: Ge ometry of Localized Effective Theories and Algebraic Index\nby Si Li ( Tsinghua University) as part of Topological Quantum Field Theory Club (IST \, Lisbon)\n\n\nAbstract\nWe describe a general framework to study the qua ntum geometry of -models when they are effectively localized to small quan tum fluctuations around constant maps. Such effective theories have exact descriptions at all loops in terms of target geometry and can be rigorousl y formulated. We illustrate this idea by the example of topological quantu m mechanics which will lead to an explicit construction of the universal t race map on periodic cyclic chains of matrix Weyl algebras. As an applicat ion\, we explain how to implement the idea of exact semi-classical approxi mation into a proof of the algebraic index theorem using Gauss Manin conne ction.\n\nThis is joint work with Zhengping Gui and Kai Xu.\nZhengping Gui \, Si Li\, Kai Xu\,\nGeometry of Localized Effective Theories\, Exact Semi -classical Approximation and the Algebraic Index\nhttps://arxiv.org/pdf/19 11.11173\n LOCATION:https://researchseminars.org/talk/TQFT/37/ END:VEVENT END:VCALENDAR