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DTSTART;TZID=America/New_York:20211202T142800
DTEND;TZID=America/New_York:20211202T152800
DTSTAMP:20240301T110349Z
CREATED:20240215T094151Z
LAST-MODIFIED:20240301T110349Z
UID:10002725-1638455280-1638458880@cmsa.fas.harvard.edu
SUMMARY:12/2/2021 Interdisciplinary Science Seminar
DESCRIPTION:Title: Polyhomogeneous expansions and Z/2-harmonic spinors branching along graphs \nAbstract: In this talk\, we will first reformulate the linearization of the moduli space of Z/2-harmonic spinorsv branching along a knot. This formula tells us that the kernel and cokernel of the linearization are isomorphic to the kernel and cokernel of the Dirac equation with a polyhomogeneous boundary condition. In the second part of this talk\, I will describe the polyhomogenous expansions for the Z/2-harmonic spinors branching along graphs and formulate the Dirac equation with a suitable boundary condition that can describe the perturbation of graphs with some restrictions. This is joint work with Andriy Haydys and Rafe Mazzeo.
URL:https://cmsa.fas.harvard.edu/event/12-2-2021-interdisciplinary-science-seminar/
CATEGORIES:Interdisciplinary Science Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20211209T142900
DTEND;TZID=America/New_York:20211209T152900
DTSTAMP:20240215T093828Z
CREATED:20240215T093828Z
LAST-MODIFIED:20240215T093828Z
UID:10002723-1639060140-1639063740@cmsa.fas.harvard.edu
SUMMARY:12/9/21 Interdisciplinary Science Seminar
DESCRIPTION:Title: Numerical Higher Dimensional Geometry \nAbstract: In 1977\, Yau proved that a Kahler manifold with zero first Chern class admits a Ricci flat metric\, which is uniquely determined by certain “moduli” data. These metrics have been very important in mathematics and in theoretical physics\, but despite much subsequent work we have no analytical expressions for them. But significant progress has been made on computing numerical approximations. We give an introduction (not assuming knowledge of complex geometry) to these problems and describe these methods.
URL:https://cmsa.fas.harvard.edu/event/12-9-21-interdisciplinary-science-seminar/
CATEGORIES:Interdisciplinary Science Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Interdisciplinary-Science-Seminar-12.09.21-1583x2048-1.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20211216T144600
DTEND;TZID=America/New_York:20211216T154600
DTSTAMP:20240215T093643Z
CREATED:20240215T093643Z
LAST-MODIFIED:20240215T093643Z
UID:10002722-1639665960-1639669560@cmsa.fas.harvard.edu
SUMMARY:12/16/2021 Interdisciplinary Science Seminar
DESCRIPTION:Title: Quadratic reciprocity from a family of adelic conformal field theories \nAbstract: We consider a deformation of the 2d free scalar field action by raising the Laplacian to a positive real power. It turns out that the resulting non-local generalized free action is invariant under two commuting actions of the global conformal symmetry algebra\, although it’s no longer invariant under the local conformal symmetry algebra. Furthermore\, there is an adelic version of this family of global conformal field theories\, parametrized by the choice of a number field\, together with a Hecke character. Tate’s thesis plays an important role here in calculating Green’s functions of these theories\, and in ensuring the adelic compatibility of these theories. In particular\, the local L-factors contribute to prefactors of these Green’s functions. We shall try to see quadratic reciprocity from this context\, as a consequence of an adelic version of holomorphic factorization of these theories. This is work in progress with B. Stoica and X. Zhong.
URL:https://cmsa.fas.harvard.edu/event/12-16-2021-interdisciplinary-science-seminar/
CATEGORIES:Interdisciplinary Science Seminar
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